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Finding the Fourth Proportional to 25,452.28, 38,189.76 and 9,871.12

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Solution

The fourth proportional to 25,452.28, 38,189.76 and 9,871.12 is: 14,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452.28 : 38,189.76 = 9,871.12 : x
  2. Step 2: Convert to fraction form
    25,452.28/38,189.76 = 9,871.12/x
  3. Step 3: Cross multiply
    25,452.28x = 38,189.76 × 9,871.12
  4. Step 4: Simplify right side
    25,452.28x = 376,975,703.73
  5. Step 5: Solve for x
    x = 376,975,703.73/25,452.28
  6. Step 6: Final answer
    x = 14,811.08

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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.