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Finding the Fourth Proportional to 24,337.44, 36,512.64 and 7,697.88

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Solution

The fourth proportional to 24,337.44, 36,512.64 and 7,697.88 is: 11,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.44 : 36,512.64 = 7,697.88 : x
  2. Step 2: Convert to fraction form
    24,337.44/36,512.64 = 7,697.88/x
  3. Step 3: Cross multiply
    24,337.44x = 36,512.64 × 7,697.88
  4. Step 4: Simplify right side
    24,337.44x = 281,069,921.20
  5. Step 5: Solve for x
    x = 281,069,921.20/24,337.44
  6. Step 6: Final answer
    x = 11,548.87

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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.