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Finding the Fourth Proportional to 15,952.50, 23,939.71 and 5,564.25

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Solution

The fourth proportional to 15,952.50, 23,939.71 and 5,564.25 is: 8,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.50 : 23,939.71 = 5,564.25 : x
  2. Step 2: Convert to fraction form
    15,952.50/23,939.71 = 5,564.25/x
  3. Step 3: Cross multiply
    15,952.50x = 23,939.71 × 5,564.25
  4. Step 4: Simplify right side
    15,952.50x = 133,206,517.46
  5. Step 5: Solve for x
    x = 133,206,517.46/15,952.50
  6. Step 6: Final answer
    x = 8,350.20

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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.