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Finding the Fourth Proportional to 13,616.86, 20,442.57 and 11,577.82

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Solution

The fourth proportional to 13,616.86, 20,442.57 and 11,577.82 is: 17,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.86 : 20,442.57 = 11,577.82 : x
  2. Step 2: Convert to fraction form
    13,616.86/20,442.57 = 11,577.82/x
  3. Step 3: Cross multiply
    13,616.86x = 20,442.57 × 11,577.82
  4. Step 4: Simplify right side
    13,616.86x = 236,680,395.80
  5. Step 5: Solve for x
    x = 236,680,395.80/13,616.86
  6. Step 6: Final answer
    x = 17,381.42

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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.