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Finding the Fourth Proportional to 27,776.52, 41,672.85 and 10,006.84

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Solution

The fourth proportional to 27,776.52, 41,672.85 and 10,006.84 is: 15,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.52 : 41,672.85 = 10,006.84 : x
  2. Step 2: Convert to fraction form
    27,776.52/41,672.85 = 10,006.84/x
  3. Step 3: Cross multiply
    27,776.52x = 41,672.85 × 10,006.84
  4. Step 4: Simplify right side
    27,776.52x = 417,013,556.09
  5. Step 5: Solve for x
    x = 417,013,556.09/27,776.52
  6. Step 6: Final answer
    x = 15,013.17

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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.