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Finding the Fourth Proportional to 23,454.57, 32,366.75 and 12,844.65

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Solution

The fourth proportional to 23,454.57, 32,366.75 and 12,844.65 is: 17,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.57 : 32,366.75 = 12,844.65 : x
  2. Step 2: Convert to fraction form
    23,454.57/32,366.75 = 12,844.65/x
  3. Step 3: Cross multiply
    23,454.57x = 32,366.75 × 12,844.65
  4. Step 4: Simplify right side
    23,454.57x = 415,739,511.16
  5. Step 5: Solve for x
    x = 415,739,511.16/23,454.57
  6. Step 6: Final answer
    x = 17,725.31

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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.