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Finding the Fourth Proportional to 22,823.70, 34,212.24 and 15,428.88

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Solution

The fourth proportional to 22,823.70, 34,212.24 and 15,428.88 is: 23,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.70 : 34,212.24 = 15,428.88 : x
  2. Step 2: Convert to fraction form
    22,823.70/34,212.24 = 15,428.88/x
  3. Step 3: Cross multiply
    22,823.70x = 34,212.24 × 15,428.88
  4. Step 4: Simplify right side
    22,823.70x = 527,856,545.49
  5. Step 5: Solve for x
    x = 527,856,545.49/22,823.70
  6. Step 6: Final answer
    x = 23,127.56

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1.5x scale

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.