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Finding the Fourth Proportional to 26,301.84, 39,456 and 10,717.44

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Solution

The fourth proportional to 26,301.84, 39,456 and 10,717.44 is: 16,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,301.84 : 39,456 = 10,717.44 : x
  2. Step 2: Convert to fraction form
    26,301.84/39,456 = 10,717.44/x
  3. Step 3: Cross multiply
    26,301.84x = 39,456 × 10,717.44
  4. Step 4: Simplify right side
    26,301.84x = 422,867,312.64
  5. Step 5: Solve for x
    x = 422,867,312.64/26,301.84
  6. Step 6: Final answer
    x = 16,077.48

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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.