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Finding the Fourth Proportional to 24,517.80, 36,758.70 and 9,719.40

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Solution

The fourth proportional to 24,517.80, 36,758.70 and 9,719.40 is: 14,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.80 : 36,758.70 = 9,719.40 : x
  2. Step 2: Convert to fraction form
    24,517.80/36,758.70 = 9,719.40/x
  3. Step 3: Cross multiply
    24,517.80x = 36,758.70 × 9,719.40
  4. Step 4: Simplify right side
    24,517.80x = 357,272,508.78
  5. Step 5: Solve for x
    x = 357,272,508.78/24,517.80
  6. Step 6: Final answer
    x = 14,571.96

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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.