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Finding the Fourth Proportional to 16,095.02, 24,149.40 and 8,309.30

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Solution

The fourth proportional to 16,095.02, 24,149.40 and 8,309.30 is: 12,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.02 : 24,149.40 = 8,309.30 : x
  2. Step 2: Convert to fraction form
    16,095.02/24,149.40 = 8,309.30/x
  3. Step 3: Cross multiply
    16,095.02x = 24,149.40 × 8,309.30
  4. Step 4: Simplify right side
    16,095.02x = 200,664,609.42
  5. Step 5: Solve for x
    x = 200,664,609.42/16,095.02
  6. Step 6: Final answer
    x = 12,467.50

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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.