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Finding the Fourth Proportional to 12,139.74, 18,213.06 and 5,116.20

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Solution

The fourth proportional to 12,139.74, 18,213.06 and 5,116.20 is: 7,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.74 : 18,213.06 = 5,116.20 : x
  2. Step 2: Convert to fraction form
    12,139.74/18,213.06 = 5,116.20/x
  3. Step 3: Cross multiply
    12,139.74x = 18,213.06 × 5,116.20
  4. Step 4: Simplify right side
    12,139.74x = 93,181,657.57
  5. Step 5: Solve for x
    x = 93,181,657.57/12,139.74
  6. Step 6: Final answer
    x = 7,675.75

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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.