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Finding the Fourth Proportional to 24,493.60, 36,722.40 and 7,844.08

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Solution

The fourth proportional to 24,493.60, 36,722.40 and 7,844.08 is: 11,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.60 : 36,722.40 = 7,844.08 : x
  2. Step 2: Convert to fraction form
    24,493.60/36,722.40 = 7,844.08/x
  3. Step 3: Cross multiply
    24,493.60x = 36,722.40 × 7,844.08
  4. Step 4: Simplify right side
    24,493.60x = 288,053,443.39
  5. Step 5: Solve for x
    x = 288,053,443.39/24,493.60
  6. Step 6: Final answer
    x = 11,760.36

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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.