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Finding the Fourth Proportional to 22,405.68, 30,912.87 and 12,713.53

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Solution

The fourth proportional to 22,405.68, 30,912.87 and 12,713.53 is: 17,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.68 : 30,912.87 = 12,713.53 : x
  2. Step 2: Convert to fraction form
    22,405.68/30,912.87 = 12,713.53/x
  3. Step 3: Cross multiply
    22,405.68x = 30,912.87 × 12,713.53
  4. Step 4: Simplify right side
    22,405.68x = 393,011,700.13
  5. Step 5: Solve for x
    x = 393,011,700.13/22,405.68
  6. Step 6: Final answer
    x = 17,540.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.