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Finding the Fourth Proportional to 27,967.56, 41,946.12 and 9,247.80

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Solution

The fourth proportional to 27,967.56, 41,946.12 and 9,247.80 is: 13,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.56 : 41,946.12 = 9,247.80 : x
  2. Step 2: Convert to fraction form
    27,967.56/41,946.12 = 9,247.80/x
  3. Step 3: Cross multiply
    27,967.56x = 41,946.12 × 9,247.80
  4. Step 4: Simplify right side
    27,967.56x = 387,909,328.54
  5. Step 5: Solve for x
    x = 387,909,328.54/27,967.56
  6. Step 6: Final answer
    x = 13,869.97

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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.