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Finding the Fourth Proportional to 27,801.20, 41,701.80 and 10,267.40

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Solution

The fourth proportional to 27,801.20, 41,701.80 and 10,267.40 is: 15,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.20 : 41,701.80 = 10,267.40 : x
  2. Step 2: Convert to fraction form
    27,801.20/41,701.80 = 10,267.40/x
  3. Step 3: Cross multiply
    27,801.20x = 41,701.80 × 10,267.40
  4. Step 4: Simplify right side
    27,801.20x = 428,169,061.32
  5. Step 5: Solve for x
    x = 428,169,061.32/27,801.20
  6. Step 6: Final answer
    x = 15,401.10

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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.