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Finding the Fourth Proportional to 24,375.60, 36,563.40 and 10,524.60

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Solution

The fourth proportional to 24,375.60, 36,563.40 and 10,524.60 is: 15,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.60 : 36,563.40 = 10,524.60 : x
  2. Step 2: Convert to fraction form
    24,375.60/36,563.40 = 10,524.60/x
  3. Step 3: Cross multiply
    24,375.60x = 36,563.40 × 10,524.60
  4. Step 4: Simplify right side
    24,375.60x = 384,815,159.64
  5. Step 5: Solve for x
    x = 384,815,159.64/24,375.60
  6. Step 6: Final answer
    x = 15,786.90

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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.