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Finding the Fourth Proportional to 23,842.01, 35,724.11 and 12,139.13

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Solution

The fourth proportional to 23,842.01, 35,724.11 and 12,139.13 is: 18,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.01 : 35,724.11 = 12,139.13 : x
  2. Step 2: Convert to fraction form
    23,842.01/35,724.11 = 12,139.13/x
  3. Step 3: Cross multiply
    23,842.01x = 35,724.11 × 12,139.13
  4. Step 4: Simplify right side
    23,842.01x = 433,659,376.11
  5. Step 5: Solve for x
    x = 433,659,376.11/23,842.01
  6. Step 6: Final answer
    x = 18,188.88

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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.