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Finding the Fourth Proportional to 27,600.84, 41,402.58 and 7,882.26

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Solution

The fourth proportional to 27,600.84, 41,402.58 and 7,882.26 is: 11,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.84 : 41,402.58 = 7,882.26 : x
  2. Step 2: Convert to fraction form
    27,600.84/41,402.58 = 7,882.26/x
  3. Step 3: Cross multiply
    27,600.84x = 41,402.58 × 7,882.26
  4. Step 4: Simplify right side
    27,600.84x = 326,345,900.23
  5. Step 5: Solve for x
    x = 326,345,900.23/27,600.84
  6. Step 6: Final answer
    x = 11,823.77

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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.