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Finding the Fourth Proportional to 16,588.38, 22,892.10 and 9,034.74

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Solution

The fourth proportional to 16,588.38, 22,892.10 and 9,034.74 is: 12,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.38 : 22,892.10 = 9,034.74 : x
  2. Step 2: Convert to fraction form
    16,588.38/22,892.10 = 9,034.74/x
  3. Step 3: Cross multiply
    16,588.38x = 22,892.10 × 9,034.74
  4. Step 4: Simplify right side
    16,588.38x = 206,824,171.55
  5. Step 5: Solve for x
    x = 206,824,171.55/16,588.38
  6. Step 6: Final answer
    x = 12,468.02

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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.