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Finding the Fourth Proportional to 24,813.90, 37,223.17 and 8,173.96

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Solution

The fourth proportional to 24,813.90, 37,223.17 and 8,173.96 is: 12,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.90 : 37,223.17 = 8,173.96 : x
  2. Step 2: Convert to fraction form
    24,813.90/37,223.17 = 8,173.96/x
  3. Step 3: Cross multiply
    24,813.90x = 37,223.17 × 8,173.96
  4. Step 4: Simplify right side
    24,813.90x = 304,260,589.16
  5. Step 5: Solve for x
    x = 304,260,589.16/24,813.90
  6. Step 6: Final answer
    x = 12,261.70

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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.