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Finding the Fourth Proportional to 13,652.40, 20,478.58 and 3,791.68

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Solution

The fourth proportional to 13,652.40, 20,478.58 and 3,791.68 is: 5,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.40 : 20,478.58 = 3,791.68 : x
  2. Step 2: Convert to fraction form
    13,652.40/20,478.58 = 3,791.68/x
  3. Step 3: Cross multiply
    13,652.40x = 20,478.58 × 3,791.68
  4. Step 4: Simplify right side
    13,652.40x = 77,648,222.21
  5. Step 5: Solve for x
    x = 77,648,222.21/13,652.40
  6. Step 6: Final answer
    x = 5,687.51

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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.