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Finding the Fourth Proportional to 23,591.17, 35,382.90 and 6,947.32

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Solution

The fourth proportional to 23,591.17, 35,382.90 and 6,947.32 is: 10,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,591.17 : 35,382.90 = 6,947.32 : x
  2. Step 2: Convert to fraction form
    23,591.17/35,382.90 = 6,947.32/x
  3. Step 3: Cross multiply
    23,591.17x = 35,382.90 × 6,947.32
  4. Step 4: Simplify right side
    23,591.17x = 245,816,313.23
  5. Step 5: Solve for x
    x = 245,816,313.23/23,591.17
  6. Step 6: Final answer
    x = 10,419.84

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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.