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Finding the Fourth Proportional to 22,929.57, 34,399.55 and 8,138.50

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Solution

The fourth proportional to 22,929.57, 34,399.55 and 8,138.50 is: 12,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.57 : 34,399.55 = 8,138.50 : x
  2. Step 2: Convert to fraction form
    22,929.57/34,399.55 = 8,138.50/x
  3. Step 3: Cross multiply
    22,929.57x = 34,399.55 × 8,138.50
  4. Step 4: Simplify right side
    22,929.57x = 279,960,672.02
  5. Step 5: Solve for x
    x = 279,960,672.02/22,929.57
  6. Step 6: Final answer
    x = 12,209.59

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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.