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Finding the Fourth Proportional to 23,175.91, 31,982.97 and 12,565.58

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Solution

The fourth proportional to 23,175.91, 31,982.97 and 12,565.58 is: 17,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.91 : 31,982.97 = 12,565.58 : x
  2. Step 2: Convert to fraction form
    23,175.91/31,982.97 = 12,565.58/x
  3. Step 3: Cross multiply
    23,175.91x = 31,982.97 × 12,565.58
  4. Step 4: Simplify right side
    23,175.91x = 401,884,455.38
  5. Step 5: Solve for x
    x = 401,884,455.38/23,175.91
  6. Step 6: Final answer
    x = 17,340.61

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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.