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Finding the Fourth Proportional to 27,678.66, 41,537.94 and 11,029.08

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Solution

The fourth proportional to 27,678.66, 41,537.94 and 11,029.08 is: 16,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.66 : 41,537.94 = 11,029.08 : x
  2. Step 2: Convert to fraction form
    27,678.66/41,537.94 = 11,029.08/x
  3. Step 3: Cross multiply
    27,678.66x = 41,537.94 × 11,029.08
  4. Step 4: Simplify right side
    27,678.66x = 458,125,263.30
  5. Step 5: Solve for x
    x = 458,125,263.30/27,678.66
  6. Step 6: Final answer
    x = 16,551.57

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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.