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Finding the Fourth Proportional to 24,494.40, 36,747.84 and 10,447.36

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Solution

The fourth proportional to 24,494.40, 36,747.84 and 10,447.36 is: 15,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.40 : 36,747.84 = 10,447.36 : x
  2. Step 2: Convert to fraction form
    24,494.40/36,747.84 = 10,447.36/x
  3. Step 3: Cross multiply
    24,494.40x = 36,747.84 × 10,447.36
  4. Step 4: Simplify right side
    24,494.40x = 383,917,913.70
  5. Step 5: Solve for x
    x = 383,917,913.70/24,494.40
  6. Step 6: Final answer
    x = 15,673.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.