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Finding the Fourth Proportional to 13,837.37, 20,761.25 and 8,294.69

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Solution

The fourth proportional to 13,837.37, 20,761.25 and 8,294.69 is: 12,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.37 : 20,761.25 = 8,294.69 : x
  2. Step 2: Convert to fraction form
    13,837.37/20,761.25 = 8,294.69/x
  3. Step 3: Cross multiply
    13,837.37x = 20,761.25 × 8,294.69
  4. Step 4: Simplify right side
    13,837.37x = 172,207,987.48
  5. Step 5: Solve for x
    x = 172,207,987.48/13,837.37
  6. Step 6: Final answer
    x = 12,445.14

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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.