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Finding the Fourth Proportional to 13,508.42, 20,224.49 and 7,168.96

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Solution

The fourth proportional to 13,508.42, 20,224.49 and 7,168.96 is: 10,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.42 : 20,224.49 = 7,168.96 : x
  2. Step 2: Convert to fraction form
    13,508.42/20,224.49 = 7,168.96/x
  3. Step 3: Cross multiply
    13,508.42x = 20,224.49 × 7,168.96
  4. Step 4: Simplify right side
    13,508.42x = 144,988,559.83
  5. Step 5: Solve for x
    x = 144,988,559.83/13,508.42
  6. Step 6: Final answer
    x = 10,733.20

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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.