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Finding the Fourth Proportional to 19,937.34, 29,909.61 and 8,251.50

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Solution

The fourth proportional to 19,937.34, 29,909.61 and 8,251.50 is: 12,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.34 : 29,909.61 = 8,251.50 : x
  2. Step 2: Convert to fraction form
    19,937.34/29,909.61 = 8,251.50/x
  3. Step 3: Cross multiply
    19,937.34x = 29,909.61 × 8,251.50
  4. Step 4: Simplify right side
    19,937.34x = 246,799,146.92
  5. Step 5: Solve for x
    x = 246,799,146.92/19,937.34
  6. Step 6: Final answer
    x = 12,378.74

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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.