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Finding the Fourth Proportional to 22,932.48, 34,402.08 and 8,137.12

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Solution

The fourth proportional to 22,932.48, 34,402.08 and 8,137.12 is: 12,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.48 : 34,402.08 = 8,137.12 : x
  2. Step 2: Convert to fraction form
    22,932.48/34,402.08 = 8,137.12/x
  3. Step 3: Cross multiply
    22,932.48x = 34,402.08 × 8,137.12
  4. Step 4: Simplify right side
    22,932.48x = 279,933,853.21
  5. Step 5: Solve for x
    x = 279,933,853.21/22,932.48
  6. Step 6: Final answer
    x = 12,206.87

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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.