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Finding the Fourth Proportional to 15,702.30, 23,552.07 and 5,172.24

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Solution

The fourth proportional to 15,702.30, 23,552.07 and 5,172.24 is: 7,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.30 : 23,552.07 = 5,172.24 : x
  2. Step 2: Convert to fraction form
    15,702.30/23,552.07 = 5,172.24/x
  3. Step 3: Cross multiply
    15,702.30x = 23,552.07 × 5,172.24
  4. Step 4: Simplify right side
    15,702.30x = 121,816,938.62
  5. Step 5: Solve for x
    x = 121,816,938.62/15,702.30
  6. Step 6: Final answer
    x = 7,757.91

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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.