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Finding the Fourth Proportional to 13,691.11, 20,536.65 and 3,302.86

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Solution

The fourth proportional to 13,691.11, 20,536.65 and 3,302.86 is: 4,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.11 : 20,536.65 = 3,302.86 : x
  2. Step 2: Convert to fraction form
    13,691.11/20,536.65 = 3,302.86/x
  3. Step 3: Cross multiply
    13,691.11x = 20,536.65 × 3,302.86
  4. Step 4: Simplify right side
    13,691.11x = 67,829,679.82
  5. Step 5: Solve for x
    x = 67,829,679.82/13,691.11
  6. Step 6: Final answer
    x = 4,954.29

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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.