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Finding the Fourth Proportional to 13,367.48, 20,035.71 and 5,042.16

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Solution

The fourth proportional to 13,367.48, 20,035.71 and 5,042.16 is: 7,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.48 : 20,035.71 = 5,042.16 : x
  2. Step 2: Convert to fraction form
    13,367.48/20,035.71 = 5,042.16/x
  3. Step 3: Cross multiply
    13,367.48x = 20,035.71 × 5,042.16
  4. Step 4: Simplify right side
    13,367.48x = 101,023,255.53
  5. Step 5: Solve for x
    x = 101,023,255.53/13,367.48
  6. Step 6: Final answer
    x = 7,557.39

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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.