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Finding the Fourth Proportional to 13,602.15, 20,403.36 and 4,114.55

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Solution

The fourth proportional to 13,602.15, 20,403.36 and 4,114.55 is: 6,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.15 : 20,403.36 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    13,602.15/20,403.36 = 4,114.55/x
  3. Step 3: Cross multiply
    13,602.15x = 20,403.36 × 4,114.55
  4. Step 4: Simplify right side
    13,602.15x = 83,950,542.87
  5. Step 5: Solve for x
    x = 83,950,542.87/13,602.15
  6. Step 6: Final answer
    x = 6,171.86

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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.