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Finding the Fourth Proportional to 14,947.78, 20,614.20 and 9,841.14

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Solution

The fourth proportional to 14,947.78, 20,614.20 and 9,841.14 is: 13,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.78 : 20,614.20 = 9,841.14 : x
  2. Step 2: Convert to fraction form
    14,947.78/20,614.20 = 9,841.14/x
  3. Step 3: Cross multiply
    14,947.78x = 20,614.20 × 9,841.14
  4. Step 4: Simplify right side
    14,947.78x = 202,867,228.19
  5. Step 5: Solve for x
    x = 202,867,228.19/14,947.78
  6. Step 6: Final answer
    x = 13,571.73

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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.