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Finding the Fourth Proportional to 16,253.68, 22,430.24 and 9,180.16

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Solution

The fourth proportional to 16,253.68, 22,430.24 and 9,180.16 is: 12,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.68 : 22,430.24 = 9,180.16 : x
  2. Step 2: Convert to fraction form
    16,253.68/22,430.24 = 9,180.16/x
  3. Step 3: Cross multiply
    16,253.68x = 22,430.24 × 9,180.16
  4. Step 4: Simplify right side
    16,253.68x = 205,913,192.04
  5. Step 5: Solve for x
    x = 205,913,192.04/16,253.68
  6. Step 6: Final answer
    x = 12,668.71

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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.