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Finding the Fourth Proportional to 23,116.96, 31,893.48 and 13,044.16

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Solution

The fourth proportional to 23,116.96, 31,893.48 and 13,044.16 is: 17,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.96 : 31,893.48 = 13,044.16 : x
  2. Step 2: Convert to fraction form
    23,116.96/31,893.48 = 13,044.16/x
  3. Step 3: Cross multiply
    23,116.96x = 31,893.48 × 13,044.16
  4. Step 4: Simplify right side
    23,116.96x = 416,023,656.08
  5. Step 5: Solve for x
    x = 416,023,656.08/23,116.96
  6. Step 6: Final answer
    x = 17,996.47

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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.