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Finding the Fourth Proportional to 24,500.60, 36,743.70 and 9,704.60

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Solution

The fourth proportional to 24,500.60, 36,743.70 and 9,704.60 is: 14,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.60 : 36,743.70 = 9,704.60 : x
  2. Step 2: Convert to fraction form
    24,500.60/36,743.70 = 9,704.60/x
  3. Step 3: Cross multiply
    24,500.60x = 36,743.70 × 9,704.60
  4. Step 4: Simplify right side
    24,500.60x = 356,582,911.02
  5. Step 5: Solve for x
    x = 356,582,911.02/24,500.60
  6. Step 6: Final answer
    x = 14,554.05

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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.