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Finding the Fourth Proportional to 25,812.18, 38,724.94 and 8,282.16

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Solution

The fourth proportional to 25,812.18, 38,724.94 and 8,282.16 is: 12,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.18 : 38,724.94 = 8,282.16 : x
  2. Step 2: Convert to fraction form
    25,812.18/38,724.94 = 8,282.16/x
  3. Step 3: Cross multiply
    25,812.18x = 38,724.94 × 8,282.16
  4. Step 4: Simplify right side
    25,812.18x = 320,726,149.07
  5. Step 5: Solve for x
    x = 320,726,149.07/25,812.18
  6. Step 6: Final answer
    x = 12,425.38

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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.