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Finding the Fourth Proportional to 27,680.50, 41,520.36 and 12,881.14

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Solution

The fourth proportional to 27,680.50, 41,520.36 and 12,881.14 is: 19,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.50 : 41,520.36 = 12,881.14 : x
  2. Step 2: Convert to fraction form
    27,680.50/41,520.36 = 12,881.14/x
  3. Step 3: Cross multiply
    27,680.50x = 41,520.36 × 12,881.14
  4. Step 4: Simplify right side
    27,680.50x = 534,829,570.01
  5. Step 5: Solve for x
    x = 534,829,570.01/27,680.50
  6. Step 6: Final answer
    x = 19,321.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.