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Finding the Fourth Proportional to 12,497.38, 18,747.02 and 4,177.42

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Solution

The fourth proportional to 12,497.38, 18,747.02 and 4,177.42 is: 6,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.38 : 18,747.02 = 4,177.42 : x
  2. Step 2: Convert to fraction form
    12,497.38/18,747.02 = 4,177.42/x
  3. Step 3: Cross multiply
    12,497.38x = 18,747.02 × 4,177.42
  4. Step 4: Simplify right side
    12,497.38x = 78,314,139.86
  5. Step 5: Solve for x
    x = 78,314,139.86/12,497.38
  6. Step 6: Final answer
    x = 6,266.45

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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.