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Finding the Fourth Proportional to 25,816.60, 38,724.90 and 8,288.20

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Solution

The fourth proportional to 25,816.60, 38,724.90 and 8,288.20 is: 12,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.60 : 38,724.90 = 8,288.20 : x
  2. Step 2: Convert to fraction form
    25,816.60/38,724.90 = 8,288.20/x
  3. Step 3: Cross multiply
    25,816.60x = 38,724.90 × 8,288.20
  4. Step 4: Simplify right side
    25,816.60x = 320,959,716.18
  5. Step 5: Solve for x
    x = 320,959,716.18/25,816.60
  6. Step 6: Final answer
    x = 12,432.30

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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.