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Finding the Fourth Proportional to 27,105.84, 40,648.70 and 9,331.54

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Solution

The fourth proportional to 27,105.84, 40,648.70 and 9,331.54 is: 13,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.84 : 40,648.70 = 9,331.54 : x
  2. Step 2: Convert to fraction form
    27,105.84/40,648.70 = 9,331.54/x
  3. Step 3: Cross multiply
    27,105.84x = 40,648.70 × 9,331.54
  4. Step 4: Simplify right side
    27,105.84x = 379,314,891.71
  5. Step 5: Solve for x
    x = 379,314,891.71/27,105.84
  6. Step 6: Final answer
    x = 13,993.84

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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.