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Finding the Fourth Proportional to 22,423.52, 33,638.97 and 6,837.50

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Solution

The fourth proportional to 22,423.52, 33,638.97 and 6,837.50 is: 10,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.52 : 33,638.97 = 6,837.50 : x
  2. Step 2: Convert to fraction form
    22,423.52/33,638.97 = 6,837.50/x
  3. Step 3: Cross multiply
    22,423.52x = 33,638.97 × 6,837.50
  4. Step 4: Simplify right side
    22,423.52x = 230,006,457.38
  5. Step 5: Solve for x
    x = 230,006,457.38/22,423.52
  6. Step 6: Final answer
    x = 10,257.38

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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.