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Finding the Fourth Proportional to 25,892.40, 38,896.20 and 24,842.80

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Solution

The fourth proportional to 25,892.40, 38,896.20 and 24,842.80 is: 37,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,892.40 : 38,896.20 = 24,842.80 : x
  2. Step 2: Convert to fraction form
    25,892.40/38,896.20 = 24,842.80/x
  3. Step 3: Cross multiply
    25,892.40x = 38,896.20 × 24,842.80
  4. Step 4: Simplify right side
    25,892.40x = 966,290,517.36
  5. Step 5: Solve for x
    x = 966,290,517.36/25,892.40
  6. Step 6: Final answer
    x = 37,319.47

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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.