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Finding the Fourth Proportional to 23,129.31, 31,918.10 and 12,920.48

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Solution

The fourth proportional to 23,129.31, 31,918.10 and 12,920.48 is: 17,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.31 : 31,918.10 = 12,920.48 : x
  2. Step 2: Convert to fraction form
    23,129.31/31,918.10 = 12,920.48/x
  3. Step 3: Cross multiply
    23,129.31x = 31,918.10 × 12,920.48
  4. Step 4: Simplify right side
    23,129.31x = 412,396,948.50
  5. Step 5: Solve for x
    x = 412,396,948.50/23,129.31
  6. Step 6: Final answer
    x = 17,830.06

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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.