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Finding the Fourth Proportional to 27,114.80, 40,660.05 and 10,469.30

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Solution

The fourth proportional to 27,114.80, 40,660.05 and 10,469.30 is: 15,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.80 : 40,660.05 = 10,469.30 : x
  2. Step 2: Convert to fraction form
    27,114.80/40,660.05 = 10,469.30/x
  3. Step 3: Cross multiply
    27,114.80x = 40,660.05 × 10,469.30
  4. Step 4: Simplify right side
    27,114.80x = 425,682,261.47
  5. Step 5: Solve for x
    x = 425,682,261.47/27,114.80
  6. Step 6: Final answer
    x = 15,699.26

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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.