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Finding the Fourth Proportional to 16,561.38, 22,854.27 and 9,007.56

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Solution

The fourth proportional to 16,561.38, 22,854.27 and 9,007.56 is: 12,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.38 : 22,854.27 = 9,007.56 : x
  2. Step 2: Convert to fraction form
    16,561.38/22,854.27 = 9,007.56/x
  3. Step 3: Cross multiply
    16,561.38x = 22,854.27 × 9,007.56
  4. Step 4: Simplify right side
    16,561.38x = 205,861,208.28
  5. Step 5: Solve for x
    x = 205,861,208.28/16,561.38
  6. Step 6: Final answer
    x = 12,430.20

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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.