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Finding the Fourth Proportional to 27,257.80, 40,876.01 and 11,470.40

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Solution

The fourth proportional to 27,257.80, 40,876.01 and 11,470.40 is: 17,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257.80 : 40,876.01 = 11,470.40 : x
  2. Step 2: Convert to fraction form
    27,257.80/40,876.01 = 11,470.40/x
  3. Step 3: Cross multiply
    27,257.80x = 40,876.01 × 11,470.40
  4. Step 4: Simplify right side
    27,257.80x = 468,864,185.10
  5. Step 5: Solve for x
    x = 468,864,185.10/27,257.80
  6. Step 6: Final answer
    x = 17,201.10

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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.