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Finding the Fourth Proportional to 16,177.43, 22,324.25 and 9,007.64

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Solution

The fourth proportional to 16,177.43, 22,324.25 and 9,007.64 is: 12,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.43 : 22,324.25 = 9,007.64 : x
  2. Step 2: Convert to fraction form
    16,177.43/22,324.25 = 9,007.64/x
  3. Step 3: Cross multiply
    16,177.43x = 22,324.25 × 9,007.64
  4. Step 4: Simplify right side
    16,177.43x = 201,088,650.61
  5. Step 5: Solve for x
    x = 201,088,650.61/16,177.43
  6. Step 6: Final answer
    x = 12,430.20

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