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Finding the Fourth Proportional to 22,957.40, 34,370.40 and 14,132.90

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Solution

The fourth proportional to 22,957.40, 34,370.40 and 14,132.90 is: 21,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.40 : 34,370.40 = 14,132.90 : x
  2. Step 2: Convert to fraction form
    22,957.40/34,370.40 = 14,132.90/x
  3. Step 3: Cross multiply
    22,957.40x = 34,370.40 × 14,132.90
  4. Step 4: Simplify right side
    22,957.40x = 485,753,426.16
  5. Step 5: Solve for x
    x = 485,753,426.16/22,957.40
  6. Step 6: Final answer
    x = 21,158.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.