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Finding the Fourth Proportional to 13,523.64, 20,279.92 and 5,620.74

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Solution

The fourth proportional to 13,523.64, 20,279.92 and 5,620.74 is: 8,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.64 : 20,279.92 = 5,620.74 : x
  2. Step 2: Convert to fraction form
    13,523.64/20,279.92 = 5,620.74/x
  3. Step 3: Cross multiply
    13,523.64x = 20,279.92 × 5,620.74
  4. Step 4: Simplify right side
    13,523.64x = 113,988,157.54
  5. Step 5: Solve for x
    x = 113,988,157.54/13,523.64
  6. Step 6: Final answer
    x = 8,428.81

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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.