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Finding the Fourth Proportional to 16,481,909.80, 24,733,362.30 and 9,658,469.80

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Solution

The fourth proportional to 16,481,909.80, 24,733,362.30 and 9,658,469.80 is: 14,493,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481,909.80 : 24,733,362.30 = 9,658,469.80 : x
  2. Step 2: Convert to fraction form
    16,481,909.80/24,733,362.30 = 9,658,469.80/x
  3. Step 3: Cross multiply
    16,481,909.80x = 24,733,362.30 × 9,658,469.80
  4. Step 4: Simplify right side
    16,481,909.80x = 238,886,432,827,008.56
  5. Step 5: Solve for x
    x = 238,886,432,827,008.56/16,481,909.80
  6. Step 6: Final answer
    x = 14,493,856.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.