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Finding the Fourth Proportional to 25,747.17, 38,621.42 and 8,216.98

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Solution

The fourth proportional to 25,747.17, 38,621.42 and 8,216.98 is: 12,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747.17 : 38,621.42 = 8,216.98 : x
  2. Step 2: Convert to fraction form
    25,747.17/38,621.42 = 8,216.98/x
  3. Step 3: Cross multiply
    25,747.17x = 38,621.42 × 8,216.98
  4. Step 4: Simplify right side
    25,747.17x = 317,351,456.25
  5. Step 5: Solve for x
    x = 317,351,456.25/25,747.17
  6. Step 6: Final answer
    x = 12,325.69

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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.