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Finding the Fourth Proportional to 16,307, 22,500.62 and 9,593.92

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Solution

The fourth proportional to 16,307, 22,500.62 and 9,593.92 is: 13,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307 : 22,500.62 = 9,593.92 : x
  2. Step 2: Convert to fraction form
    16,307/22,500.62 = 9,593.92/x
  3. Step 3: Cross multiply
    16,307x = 22,500.62 × 9,593.92
  4. Step 4: Simplify right side
    16,307x = 215,869,148.23
  5. Step 5: Solve for x
    x = 215,869,148.23/16,307
  6. Step 6: Final answer
    x = 13,237.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.