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Finding the Fourth Proportional to 27,987.99, 41,971.87 and 9,264.57

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Solution

The fourth proportional to 27,987.99, 41,971.87 and 9,264.57 is: 13,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.99 : 41,971.87 = 9,264.57 : x
  2. Step 2: Convert to fraction form
    27,987.99/41,971.87 = 9,264.57/x
  3. Step 3: Cross multiply
    27,987.99x = 41,971.87 × 9,264.57
  4. Step 4: Simplify right side
    27,987.99x = 388,851,327.65
  5. Step 5: Solve for x
    x = 388,851,327.65/27,987.99
  6. Step 6: Final answer
    x = 13,893.51

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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.