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Finding the Fourth Proportional to 23,175.22, 31,982.03 and 12,564.88

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Solution

The fourth proportional to 23,175.22, 31,982.03 and 12,564.88 is: 17,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.22 : 31,982.03 = 12,564.88 : x
  2. Step 2: Convert to fraction form
    23,175.22/31,982.03 = 12,564.88/x
  3. Step 3: Cross multiply
    23,175.22x = 31,982.03 × 12,564.88
  4. Step 4: Simplify right side
    23,175.22x = 401,850,306.28
  5. Step 5: Solve for x
    x = 401,850,306.28/23,175.22
  6. Step 6: Final answer
    x = 17,339.65

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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.