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Finding the Fourth Proportional to 21,849.16, 32,775.84 and 8,698.44

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Solution

The fourth proportional to 21,849.16, 32,775.84 and 8,698.44 is: 13,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.16 : 32,775.84 = 8,698.44 : x
  2. Step 2: Convert to fraction form
    21,849.16/32,775.84 = 8,698.44/x
  3. Step 3: Cross multiply
    21,849.16x = 32,775.84 × 8,698.44
  4. Step 4: Simplify right side
    21,849.16x = 285,098,677.69
  5. Step 5: Solve for x
    x = 285,098,677.69/21,849.16
  6. Step 6: Final answer
    x = 13,048.50

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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.