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Finding the Fourth Proportional to 22,931.27, 34,400.32 and 8,138.95

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Solution

The fourth proportional to 22,931.27, 34,400.32 and 8,138.95 is: 12,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.27 : 34,400.32 = 8,138.95 : x
  2. Step 2: Convert to fraction form
    22,931.27/34,400.32 = 8,138.95/x
  3. Step 3: Cross multiply
    22,931.27x = 34,400.32 × 8,138.95
  4. Step 4: Simplify right side
    22,931.27x = 279,982,271.77
  5. Step 5: Solve for x
    x = 279,982,271.77/22,931.27
  6. Step 6: Final answer
    x = 12,209.63

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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.