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Finding the Fourth Proportional to 27,847.78, 41,769.78 and 13,060

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Solution

The fourth proportional to 27,847.78, 41,769.78 and 13,060 is: 19,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.78 : 41,769.78 = 13,060 : x
  2. Step 2: Convert to fraction form
    27,847.78/41,769.78 = 13,060/x
  3. Step 3: Cross multiply
    27,847.78x = 41,769.78 × 13,060
  4. Step 4: Simplify right side
    27,847.78x = 545,513,326.80
  5. Step 5: Solve for x
    x = 545,513,326.80/27,847.78
  6. Step 6: Final answer
    x = 19,589.11

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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.