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Finding the Fourth Proportional to 16,174.71, 22,313.66 and 11,691.36

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Solution

The fourth proportional to 16,174.71, 22,313.66 and 11,691.36 is: 16,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.71 : 22,313.66 = 11,691.36 : x
  2. Step 2: Convert to fraction form
    16,174.71/22,313.66 = 11,691.36/x
  3. Step 3: Cross multiply
    16,174.71x = 22,313.66 × 11,691.36
  4. Step 4: Simplify right side
    16,174.71x = 260,876,973.52
  5. Step 5: Solve for x
    x = 260,876,973.52/16,174.71
  6. Step 6: Final answer
    x = 16,128.70

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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.