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Finding the Fourth Proportional to 27,424.39, 41,138.12 and 7,701.41

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Solution

The fourth proportional to 27,424.39, 41,138.12 and 7,701.41 is: 11,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.39 : 41,138.12 = 7,701.41 : x
  2. Step 2: Convert to fraction form
    27,424.39/41,138.12 = 7,701.41/x
  3. Step 3: Cross multiply
    27,424.39x = 41,138.12 × 7,701.41
  4. Step 4: Simplify right side
    27,424.39x = 316,821,323.06
  5. Step 5: Solve for x
    x = 316,821,323.06/27,424.39
  6. Step 6: Final answer
    x = 11,552.54

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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.