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Finding the Fourth Proportional to 22,681.71, 34,022.09 and 12,155.31

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Solution

The fourth proportional to 22,681.71, 34,022.09 and 12,155.31 is: 18,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.71 : 34,022.09 = 12,155.31 : x
  2. Step 2: Convert to fraction form
    22,681.71/34,022.09 = 12,155.31/x
  3. Step 3: Cross multiply
    22,681.71x = 34,022.09 × 12,155.31
  4. Step 4: Simplify right side
    22,681.71x = 413,548,990.02
  5. Step 5: Solve for x
    x = 413,548,990.02/22,681.71
  6. Step 6: Final answer
    x = 18,232.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.