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Finding the Fourth Proportional to 27,666, 41,520.72 and 12,094.56

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Solution

The fourth proportional to 27,666, 41,520.72 and 12,094.56 is: 18,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666 : 41,520.72 = 12,094.56 : x
  2. Step 2: Convert to fraction form
    27,666/41,520.72 = 12,094.56/x
  3. Step 3: Cross multiply
    27,666x = 41,520.72 × 12,094.56
  4. Step 4: Simplify right side
    27,666x = 502,174,839.28
  5. Step 5: Solve for x
    x = 502,174,839.28/27,666
  6. Step 6: Final answer
    x = 18,151.34

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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.