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Finding the Fourth Proportional to 24,251.34, 36,377.10 and 7,384.50

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Solution

The fourth proportional to 24,251.34, 36,377.10 and 7,384.50 is: 11,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.34 : 36,377.10 = 7,384.50 : x
  2. Step 2: Convert to fraction form
    24,251.34/36,377.10 = 7,384.50/x
  3. Step 3: Cross multiply
    24,251.34x = 36,377.10 × 7,384.50
  4. Step 4: Simplify right side
    24,251.34x = 268,626,694.95
  5. Step 5: Solve for x
    x = 268,626,694.95/24,251.34
  6. Step 6: Final answer
    x = 11,076.78

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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.