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Finding the Fourth Proportional to 27,028.80, 40,510.80 and 13,874.40

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Solution

The fourth proportional to 27,028.80, 40,510.80 and 13,874.40 is: 20,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,028.80 : 40,510.80 = 13,874.40 : x
  2. Step 2: Convert to fraction form
    27,028.80/40,510.80 = 13,874.40/x
  3. Step 3: Cross multiply
    27,028.80x = 40,510.80 × 13,874.40
  4. Step 4: Simplify right side
    27,028.80x = 562,063,043.52
  5. Step 5: Solve for x
    x = 562,063,043.52/27,028.80
  6. Step 6: Final answer
    x = 20,794.97

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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.