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Finding the Fourth Proportional to 13,523.86, 18,686.55 and 11,161.90

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Solution

The fourth proportional to 13,523.86, 18,686.55 and 11,161.90 is: 15,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.86 : 18,686.55 = 11,161.90 : x
  2. Step 2: Convert to fraction form
    13,523.86/18,686.55 = 11,161.90/x
  3. Step 3: Cross multiply
    13,523.86x = 18,686.55 × 11,161.90
  4. Step 4: Simplify right side
    13,523.86x = 208,577,404.87
  5. Step 5: Solve for x
    x = 208,577,404.87/13,523.86
  6. Step 6: Final answer
    x = 15,422.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.