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Finding the Fourth Proportional to 27,584.13, 41,373.87 and 8,859.16

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Solution

The fourth proportional to 27,584.13, 41,373.87 and 8,859.16 is: 13,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.13 : 41,373.87 = 8,859.16 : x
  2. Step 2: Convert to fraction form
    27,584.13/41,373.87 = 8,859.16/x
  3. Step 3: Cross multiply
    27,584.13x = 41,373.87 × 8,859.16
  4. Step 4: Simplify right side
    27,584.13x = 366,537,734.15
  5. Step 5: Solve for x
    x = 366,537,734.15/27,584.13
  6. Step 6: Final answer
    x = 13,287.99

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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.