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Finding the Fourth Proportional to 23,965.32, 35,947.98 and 8,382.90

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Solution

The fourth proportional to 23,965.32, 35,947.98 and 8,382.90 is: 12,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.32 : 35,947.98 = 8,382.90 : x
  2. Step 2: Convert to fraction form
    23,965.32/35,947.98 = 8,382.90/x
  3. Step 3: Cross multiply
    23,965.32x = 35,947.98 × 8,382.90
  4. Step 4: Simplify right side
    23,965.32x = 301,348,321.54
  5. Step 5: Solve for x
    x = 301,348,321.54/23,965.32
  6. Step 6: Final answer
    x = 12,574.35

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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.