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Finding the Fourth Proportional to 25,803.28, 38,710.39 and 8,285.41

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Solution

The fourth proportional to 25,803.28, 38,710.39 and 8,285.41 is: 12,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.28 : 38,710.39 = 8,285.41 : x
  2. Step 2: Convert to fraction form
    25,803.28/38,710.39 = 8,285.41/x
  3. Step 3: Cross multiply
    25,803.28x = 38,710.39 × 8,285.41
  4. Step 4: Simplify right side
    25,803.28x = 320,731,452.41
  5. Step 5: Solve for x
    x = 320,731,452.41/25,803.28
  6. Step 6: Final answer
    x = 12,429.87

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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.