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Finding the Fourth Proportional to 27,746.98, 41,626.24 and 9,278.50

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Solution

The fourth proportional to 27,746.98, 41,626.24 and 9,278.50 is: 13,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.98 : 41,626.24 = 9,278.50 : x
  2. Step 2: Convert to fraction form
    27,746.98/41,626.24 = 9,278.50/x
  3. Step 3: Cross multiply
    27,746.98x = 41,626.24 × 9,278.50
  4. Step 4: Simplify right side
    27,746.98x = 386,229,067.84
  5. Step 5: Solve for x
    x = 386,229,067.84/27,746.98
  6. Step 6: Final answer
    x = 13,919.68

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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.