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Finding the Fourth Proportional to 24,821.30, 37,228.26 and 8,180.66

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Solution

The fourth proportional to 24,821.30, 37,228.26 and 8,180.66 is: 12,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.30 : 37,228.26 = 8,180.66 : x
  2. Step 2: Convert to fraction form
    24,821.30/37,228.26 = 8,180.66/x
  3. Step 3: Cross multiply
    24,821.30x = 37,228.26 × 8,180.66
  4. Step 4: Simplify right side
    24,821.30x = 304,551,737.45
  5. Step 5: Solve for x
    x = 304,551,737.45/24,821.30
  6. Step 6: Final answer
    x = 12,269.77

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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.