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Finding the Fourth Proportional to 24,817.87, 37,232.25 and 8,177.23

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Solution

The fourth proportional to 24,817.87, 37,232.25 and 8,177.23 is: 12,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.87 : 37,232.25 = 8,177.23 : x
  2. Step 2: Convert to fraction form
    24,817.87/37,232.25 = 8,177.23/x
  3. Step 3: Cross multiply
    24,817.87x = 37,232.25 × 8,177.23
  4. Step 4: Simplify right side
    24,817.87x = 304,456,671.67
  5. Step 5: Solve for x
    x = 304,456,671.67/24,817.87
  6. Step 6: Final answer
    x = 12,267.64

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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.