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Finding the Fourth Proportional to 22,657.43, 33,936.87 and 10,946

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Solution

The fourth proportional to 22,657.43, 33,936.87 and 10,946 is: 16,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.43 : 33,936.87 = 10,946 : x
  2. Step 2: Convert to fraction form
    22,657.43/33,936.87 = 10,946/x
  3. Step 3: Cross multiply
    22,657.43x = 33,936.87 × 10,946
  4. Step 4: Simplify right side
    22,657.43x = 371,472,979.02
  5. Step 5: Solve for x
    x = 371,472,979.02/22,657.43
  6. Step 6: Final answer
    x = 16,395.19

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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.