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Finding the Fourth Proportional to 12,294.90, 18,439.82 and 3,527.86

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Solution

The fourth proportional to 12,294.90, 18,439.82 and 3,527.86 is: 5,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.90 : 18,439.82 = 3,527.86 : x
  2. Step 2: Convert to fraction form
    12,294.90/18,439.82 = 3,527.86/x
  3. Step 3: Cross multiply
    12,294.90x = 18,439.82 × 3,527.86
  4. Step 4: Simplify right side
    12,294.90x = 65,053,103.39
  5. Step 5: Solve for x
    x = 65,053,103.39/12,294.90
  6. Step 6: Final answer
    x = 5,291.06

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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.