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Finding the Fourth Proportional to 13,614.38, 20,422.86 and 5,295.03

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Solution

The fourth proportional to 13,614.38, 20,422.86 and 5,295.03 is: 7,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.38 : 20,422.86 = 5,295.03 : x
  2. Step 2: Convert to fraction form
    13,614.38/20,422.86 = 5,295.03/x
  3. Step 3: Cross multiply
    13,614.38x = 20,422.86 × 5,295.03
  4. Step 4: Simplify right side
    13,614.38x = 108,139,656.39
  5. Step 5: Solve for x
    x = 108,139,656.39/13,614.38
  6. Step 6: Final answer
    x = 7,943.05

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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.