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Finding the Fourth Proportional to 27,866.85, 41,803.44 and 10,105.88

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Solution

The fourth proportional to 27,866.85, 41,803.44 and 10,105.88 is: 15,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.85 : 41,803.44 = 10,105.88 : x
  2. Step 2: Convert to fraction form
    27,866.85/41,803.44 = 10,105.88/x
  3. Step 3: Cross multiply
    27,866.85x = 41,803.44 × 10,105.88
  4. Step 4: Simplify right side
    27,866.85x = 422,460,301.31
  5. Step 5: Solve for x
    x = 422,460,301.31/27,866.85
  6. Step 6: Final answer
    x = 15,159.96

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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.