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Finding the Fourth Proportional to 26,301.88, 39,443.10 and 10,711

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Solution

The fourth proportional to 26,301.88, 39,443.10 and 10,711 is: 16,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,301.88 : 39,443.10 = 10,711 : x
  2. Step 2: Convert to fraction form
    26,301.88/39,443.10 = 10,711/x
  3. Step 3: Cross multiply
    26,301.88x = 39,443.10 × 10,711
  4. Step 4: Simplify right side
    26,301.88x = 422,475,044.10
  5. Step 5: Solve for x
    x = 422,475,044.10/26,301.88
  6. Step 6: Final answer
    x = 16,062.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.