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Finding the Fourth Proportional to 27,648.98, 41,478.03 and 10,143.38

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Solution

The fourth proportional to 27,648.98, 41,478.03 and 10,143.38 is: 15,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.98 : 41,478.03 = 10,143.38 : x
  2. Step 2: Convert to fraction form
    27,648.98/41,478.03 = 10,143.38/x
  3. Step 3: Cross multiply
    27,648.98x = 41,478.03 × 10,143.38
  4. Step 4: Simplify right side
    27,648.98x = 420,727,419.94
  5. Step 5: Solve for x
    x = 420,727,419.94/27,648.98
  6. Step 6: Final answer
    x = 15,216.74

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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.