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Finding the Fourth Proportional to 23,464.80, 32,382 and 12,854.44

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Solution

The fourth proportional to 23,464.80, 32,382 and 12,854.44 is: 17,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.80 : 32,382 = 12,854.44 : x
  2. Step 2: Convert to fraction form
    23,464.80/32,382 = 12,854.44/x
  3. Step 3: Cross multiply
    23,464.80x = 32,382 × 12,854.44
  4. Step 4: Simplify right side
    23,464.80x = 416,252,476.08
  5. Step 5: Solve for x
    x = 416,252,476.08/23,464.80
  6. Step 6: Final answer
    x = 17,739.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.