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Finding the Fourth Proportional to 25,825.30, 38,731.55 and 7,104.42

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Solution

The fourth proportional to 25,825.30, 38,731.55 and 7,104.42 is: 10,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.30 : 38,731.55 = 7,104.42 : x
  2. Step 2: Convert to fraction form
    25,825.30/38,731.55 = 7,104.42/x
  3. Step 3: Cross multiply
    25,825.30x = 38,731.55 × 7,104.42
  4. Step 4: Simplify right side
    25,825.30x = 275,165,162.93
  5. Step 5: Solve for x
    x = 275,165,162.93/25,825.30
  6. Step 6: Final answer
    x = 10,654.87

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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.