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Finding the Fourth Proportional to 13,561.98, 20,343.76 and 5,243.28

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Solution

The fourth proportional to 13,561.98, 20,343.76 and 5,243.28 is: 7,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.98 : 20,343.76 = 5,243.28 : x
  2. Step 2: Convert to fraction form
    13,561.98/20,343.76 = 5,243.28/x
  3. Step 3: Cross multiply
    13,561.98x = 20,343.76 × 5,243.28
  4. Step 4: Simplify right side
    13,561.98x = 106,668,029.93
  5. Step 5: Solve for x
    x = 106,668,029.93/13,561.98
  6. Step 6: Final answer
    x = 7,865.23

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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.