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Finding the Fourth Proportional to 12,397.59, 18,597.56 and 4,077.68

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Solution

The fourth proportional to 12,397.59, 18,597.56 and 4,077.68 is: 6,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.59 : 18,597.56 = 4,077.68 : x
  2. Step 2: Convert to fraction form
    12,397.59/18,597.56 = 4,077.68/x
  3. Step 3: Cross multiply
    12,397.59x = 18,597.56 × 4,077.68
  4. Step 4: Simplify right side
    12,397.59x = 75,834,785.08
  5. Step 5: Solve for x
    x = 75,834,785.08/12,397.59
  6. Step 6: Final answer
    x = 6,116.90

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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.