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Finding the Fourth Proportional to 15,105.78, 22,657.05 and 9,252.18

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Solution

The fourth proportional to 15,105.78, 22,657.05 and 9,252.18 is: 13,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.78 : 22,657.05 = 9,252.18 : x
  2. Step 2: Convert to fraction form
    15,105.78/22,657.05 = 9,252.18/x
  3. Step 3: Cross multiply
    15,105.78x = 22,657.05 × 9,252.18
  4. Step 4: Simplify right side
    15,105.78x = 209,627,104.87
  5. Step 5: Solve for x
    x = 209,627,104.87/15,105.78
  6. Step 6: Final answer
    x = 13,877.28

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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.