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Finding the Fourth Proportional to 24,462.20, 36,680.88 and 10,416.80

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Solution

The fourth proportional to 24,462.20, 36,680.88 and 10,416.80 is: 15,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.20 : 36,680.88 = 10,416.80 : x
  2. Step 2: Convert to fraction form
    24,462.20/36,680.88 = 10,416.80/x
  3. Step 3: Cross multiply
    24,462.20x = 36,680.88 × 10,416.80
  4. Step 4: Simplify right side
    24,462.20x = 382,097,390.78
  5. Step 5: Solve for x
    x = 382,097,390.78/24,462.20
  6. Step 6: Final answer
    x = 15,619.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.