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Finding the Fourth Proportional to 13,675.91, 20,513.85 and 3,287.66

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Solution

The fourth proportional to 13,675.91, 20,513.85 and 3,287.66 is: 4,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.91 : 20,513.85 = 3,287.66 : x
  2. Step 2: Convert to fraction form
    13,675.91/20,513.85 = 3,287.66/x
  3. Step 3: Cross multiply
    13,675.91x = 20,513.85 × 3,287.66
  4. Step 4: Simplify right side
    13,675.91x = 67,442,564.09
  5. Step 5: Solve for x
    x = 67,442,564.09/13,675.91
  6. Step 6: Final answer
    x = 4,931.49

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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.