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Finding the Fourth Proportional to 24,286.35, 36,435.96 and 7,646.97

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Solution

The fourth proportional to 24,286.35, 36,435.96 and 7,646.97 is: 11,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.35 : 36,435.96 = 7,646.97 : x
  2. Step 2: Convert to fraction form
    24,286.35/36,435.96 = 7,646.97/x
  3. Step 3: Cross multiply
    24,286.35x = 36,435.96 × 7,646.97
  4. Step 4: Simplify right side
    24,286.35x = 278,624,693.04
  5. Step 5: Solve for x
    x = 278,624,693.04/24,286.35
  6. Step 6: Final answer
    x = 11,472.48

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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.