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Finding the Fourth Proportional to 24,205.80, 36,313.56 and 9,414.39

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Solution

The fourth proportional to 24,205.80, 36,313.56 and 9,414.39 is: 14,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.80 : 36,313.56 = 9,414.39 : x
  2. Step 2: Convert to fraction form
    24,205.80/36,313.56 = 9,414.39/x
  3. Step 3: Cross multiply
    24,205.80x = 36,313.56 × 9,414.39
  4. Step 4: Simplify right side
    24,205.80x = 341,870,016.13
  5. Step 5: Solve for x
    x = 341,870,016.13/24,205.80
  6. Step 6: Final answer
    x = 14,123.48

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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.