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Finding the Fourth Proportional to 15,640.20, 23,458.86 and 5,252.04

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Solution

The fourth proportional to 15,640.20, 23,458.86 and 5,252.04 is: 7,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.20 : 23,458.86 = 5,252.04 : x
  2. Step 2: Convert to fraction form
    15,640.20/23,458.86 = 5,252.04/x
  3. Step 3: Cross multiply
    15,640.20x = 23,458.86 × 5,252.04
  4. Step 4: Simplify right side
    15,640.20x = 123,206,871.07
  5. Step 5: Solve for x
    x = 123,206,871.07/15,640.20
  6. Step 6: Final answer
    x = 7,877.58

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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.