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Finding the Fourth Proportional to 27,666.72, 41,499 and 7,945.20

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Solution

The fourth proportional to 27,666.72, 41,499 and 7,945.20 is: 11,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.72 : 41,499 = 7,945.20 : x
  2. Step 2: Convert to fraction form
    27,666.72/41,499 = 7,945.20/x
  3. Step 3: Cross multiply
    27,666.72x = 41,499 × 7,945.20
  4. Step 4: Simplify right side
    27,666.72x = 329,717,854.80
  5. Step 5: Solve for x
    x = 329,717,854.80/27,666.72
  6. Step 6: Final answer
    x = 11,917.49

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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.