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Finding the Fourth Proportional to 27,114.60, 40,652.70 and 10,468.20

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Solution

The fourth proportional to 27,114.60, 40,652.70 and 10,468.20 is: 15,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.60 : 40,652.70 = 10,468.20 : x
  2. Step 2: Convert to fraction form
    27,114.60/40,652.70 = 10,468.20/x
  3. Step 3: Cross multiply
    27,114.60x = 40,652.70 × 10,468.20
  4. Step 4: Simplify right side
    27,114.60x = 425,560,594.14
  5. Step 5: Solve for x
    x = 425,560,594.14/27,114.60
  6. Step 6: Final answer
    x = 15,694.89

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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.