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Finding the Fourth Proportional to 22,531.50, 31,097.30 and 15,260.40

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Solution

The fourth proportional to 22,531.50, 31,097.30 and 15,260.40 is: 21,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.50 : 31,097.30 = 15,260.40 : x
  2. Step 2: Convert to fraction form
    22,531.50/31,097.30 = 15,260.40/x
  3. Step 3: Cross multiply
    22,531.50x = 31,097.30 × 15,260.40
  4. Step 4: Simplify right side
    22,531.50x = 474,557,160.62
  5. Step 5: Solve for x
    x = 474,557,160.62/22,531.50
  6. Step 6: Final answer
    x = 21,061.94

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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.