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Finding the Fourth Proportional to 27,899.65, 41,851.75 and 13,100.50

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Solution

The fourth proportional to 27,899.65, 41,851.75 and 13,100.50 is: 19,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.65 : 41,851.75 = 13,100.50 : x
  2. Step 2: Convert to fraction form
    27,899.65/41,851.75 = 13,100.50/x
  3. Step 3: Cross multiply
    27,899.65x = 41,851.75 × 13,100.50
  4. Step 4: Simplify right side
    27,899.65x = 548,278,641.62
  5. Step 5: Solve for x
    x = 548,278,641.62/27,899.65
  6. Step 6: Final answer
    x = 19,651.81

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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.