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Finding the Fourth Proportional to 23,139.14, 34,706.34 and 8,348.27

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Solution

The fourth proportional to 23,139.14, 34,706.34 and 8,348.27 is: 12,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139.14 : 34,706.34 = 8,348.27 : x
  2. Step 2: Convert to fraction form
    23,139.14/34,706.34 = 8,348.27/x
  3. Step 3: Cross multiply
    23,139.14x = 34,706.34 × 8,348.27
  4. Step 4: Simplify right side
    23,139.14x = 289,737,723.50
  5. Step 5: Solve for x
    x = 289,737,723.50/23,139.14
  6. Step 6: Final answer
    x = 12,521.55

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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.