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Finding the Fourth Proportional to 16,177.31, 22,324.68 and 9,007.07

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Solution

The fourth proportional to 16,177.31, 22,324.68 and 9,007.07 is: 12,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.31 : 22,324.68 = 9,007.07 : x
  2. Step 2: Convert to fraction form
    16,177.31/22,324.68 = 9,007.07/x
  3. Step 3: Cross multiply
    16,177.31x = 22,324.68 × 9,007.07
  4. Step 4: Simplify right side
    16,177.31x = 201,079,843.86
  5. Step 5: Solve for x
    x = 201,079,843.86/16,177.31
  6. Step 6: Final answer
    x = 12,429.75

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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.