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Finding the Fourth Proportional to 25,839.36, 38,760.24 and 9,199.52

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Solution

The fourth proportional to 25,839.36, 38,760.24 and 9,199.52 is: 13,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839.36 : 38,760.24 = 9,199.52 : x
  2. Step 2: Convert to fraction form
    25,839.36/38,760.24 = 9,199.52/x
  3. Step 3: Cross multiply
    25,839.36x = 38,760.24 × 9,199.52
  4. Step 4: Simplify right side
    25,839.36x = 356,575,603.08
  5. Step 5: Solve for x
    x = 356,575,603.08/25,839.36
  6. Step 6: Final answer
    x = 13,799.71

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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.