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Finding the Fourth Proportional to 13,718.38, 20,573.31 and 4,952.15

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Solution

The fourth proportional to 13,718.38, 20,573.31 and 4,952.15 is: 7,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.38 : 20,573.31 = 4,952.15 : x
  2. Step 2: Convert to fraction form
    13,718.38/20,573.31 = 4,952.15/x
  3. Step 3: Cross multiply
    13,718.38x = 20,573.31 × 4,952.15
  4. Step 4: Simplify right side
    13,718.38x = 101,882,197.84
  5. Step 5: Solve for x
    x = 101,882,197.84/13,718.38
  6. Step 6: Final answer
    x = 7,426.69

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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.