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Finding the Fourth Proportional to 13,791.77, 20,675.12 and 5,024.69

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Solution

The fourth proportional to 13,791.77, 20,675.12 and 5,024.69 is: 7,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.77 : 20,675.12 = 5,024.69 : x
  2. Step 2: Convert to fraction form
    13,791.77/20,675.12 = 5,024.69/x
  3. Step 3: Cross multiply
    13,791.77x = 20,675.12 × 5,024.69
  4. Step 4: Simplify right side
    13,791.77x = 103,886,043.59
  5. Step 5: Solve for x
    x = 103,886,043.59/13,791.77
  6. Step 6: Final answer
    x = 7,532.47

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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.