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Finding the Fourth Proportional to 13,791.68, 20,688 and 3,403.52

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Solution

The fourth proportional to 13,791.68, 20,688 and 3,403.52 is: 5,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.68 : 20,688 = 3,403.52 : x
  2. Step 2: Convert to fraction form
    13,791.68/20,688 = 3,403.52/x
  3. Step 3: Cross multiply
    13,791.68x = 20,688 × 3,403.52
  4. Step 4: Simplify right side
    13,791.68x = 70,412,021.76
  5. Step 5: Solve for x
    x = 70,412,021.76/13,791.68
  6. Step 6: Final answer
    x = 5,105.40

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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.