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Finding the Fourth Proportional to 24,353.30, 36,512.13 and 7,704.02

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Solution

The fourth proportional to 24,353.30, 36,512.13 and 7,704.02 is: 11,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,353.30 : 36,512.13 = 7,704.02 : x
  2. Step 2: Convert to fraction form
    24,353.30/36,512.13 = 7,704.02/x
  3. Step 3: Cross multiply
    24,353.30x = 36,512.13 × 7,704.02
  4. Step 4: Simplify right side
    24,353.30x = 281,290,179.76
  5. Step 5: Solve for x
    x = 281,290,179.76/24,353.30
  6. Step 6: Final answer
    x = 11,550.39

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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.