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Finding the Fourth Proportional to 25,753.59, 38,622.02 and 8,219.25

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Solution

The fourth proportional to 25,753.59, 38,622.02 and 8,219.25 is: 12,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.59 : 38,622.02 = 8,219.25 : x
  2. Step 2: Convert to fraction form
    25,753.59/38,622.02 = 8,219.25/x
  3. Step 3: Cross multiply
    25,753.59x = 38,622.02 × 8,219.25
  4. Step 4: Simplify right side
    25,753.59x = 317,443,996.79
  5. Step 5: Solve for x
    x = 317,443,996.79/25,753.59
  6. Step 6: Final answer
    x = 12,326.20

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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.