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Finding the Fourth Proportional to 23,107.80, 31,892.69 and 13,039.10

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Solution

The fourth proportional to 23,107.80, 31,892.69 and 13,039.10 is: 17,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.80 : 31,892.69 = 13,039.10 : x
  2. Step 2: Convert to fraction form
    23,107.80/31,892.69 = 13,039.10/x
  3. Step 3: Cross multiply
    23,107.80x = 31,892.69 × 13,039.10
  4. Step 4: Simplify right side
    23,107.80x = 415,851,749.52
  5. Step 5: Solve for x
    x = 415,851,749.52/23,107.80
  6. Step 6: Final answer
    x = 17,996.16

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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.