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Finding the Fourth Proportional to 23,115.96, 31,892.10 and 13,043.16

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Solution

The fourth proportional to 23,115.96, 31,892.10 and 13,043.16 is: 17,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.96 : 31,892.10 = 13,043.16 : x
  2. Step 2: Convert to fraction form
    23,115.96/31,892.10 = 13,043.16/x
  3. Step 3: Cross multiply
    23,115.96x = 31,892.10 × 13,043.16
  4. Step 4: Simplify right side
    23,115.96x = 415,973,763.04
  5. Step 5: Solve for x
    x = 415,973,763.04/23,115.96
  6. Step 6: Final answer
    x = 17,995.09

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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.