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Finding the Fourth Proportional to 23,165.67, 31,968.62 and 12,555.30

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Solution

The fourth proportional to 23,165.67, 31,968.62 and 12,555.30 is: 17,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.67 : 31,968.62 = 12,555.30 : x
  2. Step 2: Convert to fraction form
    23,165.67/31,968.62 = 12,555.30/x
  3. Step 3: Cross multiply
    23,165.67x = 31,968.62 × 12,555.30
  4. Step 4: Simplify right side
    23,165.67x = 401,375,789.50
  5. Step 5: Solve for x
    x = 401,375,789.50/23,165.67
  6. Step 6: Final answer
    x = 17,326.32

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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.