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Finding the Fourth Proportional to 22,638.23, 33,945.93 and 7,843.17

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Solution

The fourth proportional to 22,638.23, 33,945.93 and 7,843.17 is: 11,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.23 : 33,945.93 = 7,843.17 : x
  2. Step 2: Convert to fraction form
    22,638.23/33,945.93 = 7,843.17/x
  3. Step 3: Cross multiply
    22,638.23x = 33,945.93 × 7,843.17
  4. Step 4: Simplify right side
    22,638.23x = 266,243,699.80
  5. Step 5: Solve for x
    x = 266,243,699.80/22,638.23
  6. Step 6: Final answer
    x = 11,760.80

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1.5x scale

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.