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Finding the Fourth Proportional to 24,398.42, 36,581.07 and 7,753.46

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Solution

The fourth proportional to 24,398.42, 36,581.07 and 7,753.46 is: 11,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398.42 : 36,581.07 = 7,753.46 : x
  2. Step 2: Convert to fraction form
    24,398.42/36,581.07 = 7,753.46/x
  3. Step 3: Cross multiply
    24,398.42x = 36,581.07 × 7,753.46
  4. Step 4: Simplify right side
    24,398.42x = 283,629,863.00
  5. Step 5: Solve for x
    x = 283,629,863.00/24,398.42
  6. Step 6: Final answer
    x = 11,624.93

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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.