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Finding the Fourth Proportional to 14,661.44, 20,232.83 and 7,947.04

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Solution

The fourth proportional to 14,661.44, 20,232.83 and 7,947.04 is: 10,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.44 : 20,232.83 = 7,947.04 : x
  2. Step 2: Convert to fraction form
    14,661.44/20,232.83 = 7,947.04/x
  3. Step 3: Cross multiply
    14,661.44x = 20,232.83 × 7,947.04
  4. Step 4: Simplify right side
    14,661.44x = 160,791,067.78
  5. Step 5: Solve for x
    x = 160,791,067.78/14,661.44
  6. Step 6: Final answer
    x = 10,966.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.