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Finding the Fourth Proportional to 27,666.92, 41,509.83 and 11,871.29

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Solution

The fourth proportional to 27,666.92, 41,509.83 and 11,871.29 is: 17,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.92 : 41,509.83 = 11,871.29 : x
  2. Step 2: Convert to fraction form
    27,666.92/41,509.83 = 11,871.29/x
  3. Step 3: Cross multiply
    27,666.92x = 41,509.83 × 11,871.29
  4. Step 4: Simplify right side
    27,666.92x = 492,775,229.78
  5. Step 5: Solve for x
    x = 492,775,229.78/27,666.92
  6. Step 6: Final answer
    x = 17,810.99

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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.