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Finding the Fourth Proportional to 13,509.83, 20,265.77 and 3,648.97

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Solution

The fourth proportional to 13,509.83, 20,265.77 and 3,648.97 is: 5,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.83 : 20,265.77 = 3,648.97 : x
  2. Step 2: Convert to fraction form
    13,509.83/20,265.77 = 3,648.97/x
  3. Step 3: Cross multiply
    13,509.83x = 20,265.77 × 3,648.97
  4. Step 4: Simplify right side
    13,509.83x = 73,949,067.18
  5. Step 5: Solve for x
    x = 73,949,067.18/13,509.83
  6. Step 6: Final answer
    x = 5,473.72

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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.