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Finding the Fourth Proportional to 22,715.56, 31,340.16 and 13,760.20

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Solution

The fourth proportional to 22,715.56, 31,340.16 and 13,760.20 is: 18,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.56 : 31,340.16 = 13,760.20 : x
  2. Step 2: Convert to fraction form
    22,715.56/31,340.16 = 13,760.20/x
  3. Step 3: Cross multiply
    22,715.56x = 31,340.16 × 13,760.20
  4. Step 4: Simplify right side
    22,715.56x = 431,246,869.63
  5. Step 5: Solve for x
    x = 431,246,869.63/22,715.56
  6. Step 6: Final answer
    x = 18,984.65

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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.