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Finding the Fourth Proportional to 12,197.32, 18,295.90 and 3,877.15

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Solution

The fourth proportional to 12,197.32, 18,295.90 and 3,877.15 is: 5,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.32 : 18,295.90 = 3,877.15 : x
  2. Step 2: Convert to fraction form
    12,197.32/18,295.90 = 3,877.15/x
  3. Step 3: Cross multiply
    12,197.32x = 18,295.90 × 3,877.15
  4. Step 4: Simplify right side
    12,197.32x = 70,935,948.69
  5. Step 5: Solve for x
    x = 70,935,948.69/12,197.32
  6. Step 6: Final answer
    x = 5,815.70

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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.