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Finding the Fourth Proportional to 23,382.94, 32,269.14 and 12,772.74

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Solution

The fourth proportional to 23,382.94, 32,269.14 and 12,772.74 is: 17,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.94 : 32,269.14 = 12,772.74 : x
  2. Step 2: Convert to fraction form
    23,382.94/32,269.14 = 12,772.74/x
  3. Step 3: Cross multiply
    23,382.94x = 32,269.14 × 12,772.74
  4. Step 4: Simplify right side
    23,382.94x = 412,165,335.24
  5. Step 5: Solve for x
    x = 412,165,335.24/23,382.94
  6. Step 6: Final answer
    x = 17,626.75

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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.