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Finding the Fourth Proportional to 27,763.47, 41,649.81 and 9,747.03

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Solution

The fourth proportional to 27,763.47, 41,649.81 and 9,747.03 is: 14,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.47 : 41,649.81 = 9,747.03 : x
  2. Step 2: Convert to fraction form
    27,763.47/41,649.81 = 9,747.03/x
  3. Step 3: Cross multiply
    27,763.47x = 41,649.81 × 9,747.03
  4. Step 4: Simplify right side
    27,763.47x = 405,961,887.75
  5. Step 5: Solve for x
    x = 405,961,887.75/27,763.47
  6. Step 6: Final answer
    x = 14,622.16

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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.