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Finding the Fourth Proportional to 24,393.44, 36,589.65 and 7,753.50

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Solution

The fourth proportional to 24,393.44, 36,589.65 and 7,753.50 is: 11,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.44 : 36,589.65 = 7,753.50 : x
  2. Step 2: Convert to fraction form
    24,393.44/36,589.65 = 7,753.50/x
  3. Step 3: Cross multiply
    24,393.44x = 36,589.65 × 7,753.50
  4. Step 4: Simplify right side
    24,393.44x = 283,697,851.28
  5. Step 5: Solve for x
    x = 283,697,851.28/24,393.44
  6. Step 6: Final answer
    x = 11,630.09

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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.