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Finding the Fourth Proportional to 27,899.15, 41,851 and 13,100

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Solution

The fourth proportional to 27,899.15, 41,851 and 13,100 is: 19,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.15 : 41,851 = 13,100 : x
  2. Step 2: Convert to fraction form
    27,899.15/41,851 = 13,100/x
  3. Step 3: Cross multiply
    27,899.15x = 41,851 × 13,100
  4. Step 4: Simplify right side
    27,899.15x = 548,248,100
  5. Step 5: Solve for x
    x = 548,248,100/27,899.15
  6. Step 6: Final answer
    x = 19,651.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.