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Finding the Fourth Proportional to 22,642.72, 31,248.52 and 13,084.32

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Solution

The fourth proportional to 22,642.72, 31,248.52 and 13,084.32 is: 18,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.72 : 31,248.52 = 13,084.32 : x
  2. Step 2: Convert to fraction form
    22,642.72/31,248.52 = 13,084.32/x
  3. Step 3: Cross multiply
    22,642.72x = 31,248.52 × 13,084.32
  4. Step 4: Simplify right side
    22,642.72x = 408,865,635.21
  5. Step 5: Solve for x
    x = 408,865,635.21/22,642.72
  6. Step 6: Final answer
    x = 18,057.27

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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.