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Finding the Fourth Proportional to 20,744.67, 31,113.95 and 7,593.98

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Solution

The fourth proportional to 20,744.67, 31,113.95 and 7,593.98 is: 11,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.67 : 31,113.95 = 7,593.98 : x
  2. Step 2: Convert to fraction form
    20,744.67/31,113.95 = 7,593.98/x
  3. Step 3: Cross multiply
    20,744.67x = 31,113.95 × 7,593.98
  4. Step 4: Simplify right side
    20,744.67x = 236,278,714.02
  5. Step 5: Solve for x
    x = 236,278,714.02/20,744.67
  6. Step 6: Final answer
    x = 11,389.85

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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.