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Finding the Fourth Proportional to 20,686.49, 31,049.18 and 10,832.84

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Solution

The fourth proportional to 20,686.49, 31,049.18 and 10,832.84 is: 16,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.49 : 31,049.18 = 10,832.84 : x
  2. Step 2: Convert to fraction form
    20,686.49/31,049.18 = 10,832.84/x
  3. Step 3: Cross multiply
    20,686.49x = 31,049.18 × 10,832.84
  4. Step 4: Simplify right side
    20,686.49x = 336,350,822.53
  5. Step 5: Solve for x
    x = 336,350,822.53/20,686.49
  6. Step 6: Final answer
    x = 16,259.44

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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.