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Finding the Fourth Proportional to 26,498.52, 39,747.78 and 11,722.50

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Solution

The fourth proportional to 26,498.52, 39,747.78 and 11,722.50 is: 17,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498.52 : 39,747.78 = 11,722.50 : x
  2. Step 2: Convert to fraction form
    26,498.52/39,747.78 = 11,722.50/x
  3. Step 3: Cross multiply
    26,498.52x = 39,747.78 × 11,722.50
  4. Step 4: Simplify right side
    26,498.52x = 465,943,351.05
  5. Step 5: Solve for x
    x = 465,943,351.05/26,498.52
  6. Step 6: Final answer
    x = 17,583.75

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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.