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Finding the Fourth Proportional to 27,838.41, 41,756.54 and 9,119.85

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Solution

The fourth proportional to 27,838.41, 41,756.54 and 9,119.85 is: 13,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.41 : 41,756.54 = 9,119.85 : x
  2. Step 2: Convert to fraction form
    27,838.41/41,756.54 = 9,119.85/x
  3. Step 3: Cross multiply
    27,838.41x = 41,756.54 × 9,119.85
  4. Step 4: Simplify right side
    27,838.41x = 380,813,335.72
  5. Step 5: Solve for x
    x = 380,813,335.72/27,838.41
  6. Step 6: Final answer
    x = 13,679.42

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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.