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Finding the Fourth Proportional to 25,911.28, 38,868.14 and 8,382.48

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Solution

The fourth proportional to 25,911.28, 38,868.14 and 8,382.48 is: 12,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.28 : 38,868.14 = 8,382.48 : x
  2. Step 2: Convert to fraction form
    25,911.28/38,868.14 = 8,382.48/x
  3. Step 3: Cross multiply
    25,911.28x = 38,868.14 × 8,382.48
  4. Step 4: Simplify right side
    25,911.28x = 325,811,309.02
  5. Step 5: Solve for x
    x = 325,811,309.02/25,911.28
  6. Step 6: Final answer
    x = 12,574.11

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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.