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Finding the Fourth Proportional to 15,198.20, 20,983.13 and 10,426.13

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Solution

The fourth proportional to 15,198.20, 20,983.13 and 10,426.13 is: 14,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.20 : 20,983.13 = 10,426.13 : x
  2. Step 2: Convert to fraction form
    15,198.20/20,983.13 = 10,426.13/x
  3. Step 3: Cross multiply
    15,198.20x = 20,983.13 × 10,426.13
  4. Step 4: Simplify right side
    15,198.20x = 218,772,841.19
  5. Step 5: Solve for x
    x = 218,772,841.19/15,198.20
  6. Step 6: Final answer
    x = 14,394.65

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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.