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Finding the Fourth Proportional to 12,374.65, 18,548.03 and 6,139.13

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Solution

The fourth proportional to 12,374.65, 18,548.03 and 6,139.13 is: 9,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.65 : 18,548.03 = 6,139.13 : x
  2. Step 2: Convert to fraction form
    12,374.65/18,548.03 = 6,139.13/x
  3. Step 3: Cross multiply
    12,374.65x = 18,548.03 × 6,139.13
  4. Step 4: Simplify right side
    12,374.65x = 113,868,829.13
  5. Step 5: Solve for x
    x = 113,868,829.13/12,374.65
  6. Step 6: Final answer
    x = 9,201.78

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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.