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Finding the Fourth Proportional to 22,776.52, 34,180.20 and 7,985.56

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Solution

The fourth proportional to 22,776.52, 34,180.20 and 7,985.56 is: 11,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.52 : 34,180.20 = 7,985.56 : x
  2. Step 2: Convert to fraction form
    22,776.52/34,180.20 = 7,985.56/x
  3. Step 3: Cross multiply
    22,776.52x = 34,180.20 × 7,985.56
  4. Step 4: Simplify right side
    22,776.52x = 272,948,037.91
  5. Step 5: Solve for x
    x = 272,948,037.91/22,776.52
  6. Step 6: Final answer
    x = 11,983.75

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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.