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Finding the Fourth Proportional to 15,782.27, 23,677.52 and 5,253.89

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Solution

The fourth proportional to 15,782.27, 23,677.52 and 5,253.89 is: 7,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.27 : 23,677.52 = 5,253.89 : x
  2. Step 2: Convert to fraction form
    15,782.27/23,677.52 = 5,253.89/x
  3. Step 3: Cross multiply
    15,782.27x = 23,677.52 × 5,253.89
  4. Step 4: Simplify right side
    15,782.27x = 124,398,940.90
  5. Step 5: Solve for x
    x = 124,398,940.90/15,782.27
  6. Step 6: Final answer
    x = 7,882.20

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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.