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Finding the Fourth Proportional to 17,947.13, 24,767.04 and 9,991.23

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Solution

The fourth proportional to 17,947.13, 24,767.04 and 9,991.23 is: 13,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.13 : 24,767.04 = 9,991.23 : x
  2. Step 2: Convert to fraction form
    17,947.13/24,767.04 = 9,991.23/x
  3. Step 3: Cross multiply
    17,947.13x = 24,767.04 × 9,991.23
  4. Step 4: Simplify right side
    17,947.13x = 247,453,193.06
  5. Step 5: Solve for x
    x = 247,453,193.06/17,947.13
  6. Step 6: Final answer
    x = 13,787.90

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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.