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Finding the Fourth Proportional to 12,196.74, 18,293.46 and 3,432.40

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Solution

The fourth proportional to 12,196.74, 18,293.46 and 3,432.40 is: 5,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.74 : 18,293.46 = 3,432.40 : x
  2. Step 2: Convert to fraction form
    12,196.74/18,293.46 = 3,432.40/x
  3. Step 3: Cross multiply
    12,196.74x = 18,293.46 × 3,432.40
  4. Step 4: Simplify right side
    12,196.74x = 62,790,472.10
  5. Step 5: Solve for x
    x = 62,790,472.10/12,196.74
  6. Step 6: Final answer
    x = 5,148.14

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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.