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Finding the Fourth Proportional to 16,171.47, 22,308.47 and 9,452.71

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Solution

The fourth proportional to 16,171.47, 22,308.47 and 9,452.71 is: 13,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.47 : 22,308.47 = 9,452.71 : x
  2. Step 2: Convert to fraction form
    16,171.47/22,308.47 = 9,452.71/x
  3. Step 3: Cross multiply
    16,171.47x = 22,308.47 × 9,452.71
  4. Step 4: Simplify right side
    16,171.47x = 210,875,450.19
  5. Step 5: Solve for x
    x = 210,875,450.19/16,171.47
  6. Step 6: Final answer
    x = 13,039.97

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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.