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Finding the Fourth Proportional to 17,947.19, 24,767.49 and 9,989.24

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Solution

The fourth proportional to 17,947.19, 24,767.49 and 9,989.24 is: 13,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.19 : 24,767.49 = 9,989.24 : x
  2. Step 2: Convert to fraction form
    17,947.19/24,767.49 = 9,989.24/x
  3. Step 3: Cross multiply
    17,947.19x = 24,767.49 × 9,989.24
  4. Step 4: Simplify right side
    17,947.19x = 247,408,277.97
  5. Step 5: Solve for x
    x = 247,408,277.97/17,947.19
  6. Step 6: Final answer
    x = 13,785.35

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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.