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Finding the Fourth Proportional to 27,446.33, 41,165.85 and 7,726.58

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Solution

The fourth proportional to 27,446.33, 41,165.85 and 7,726.58 is: 11,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.33 : 41,165.85 = 7,726.58 : x
  2. Step 2: Convert to fraction form
    27,446.33/41,165.85 = 7,726.58/x
  3. Step 3: Cross multiply
    27,446.33x = 41,165.85 × 7,726.58
  4. Step 4: Simplify right side
    27,446.33x = 318,071,233.29
  5. Step 5: Solve for x
    x = 318,071,233.29/27,446.33
  6. Step 6: Final answer
    x = 11,588.84

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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.