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Finding the Fourth Proportional to 22,803, 34,206.42 and 6,387

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Solution

The fourth proportional to 22,803, 34,206.42 and 6,387 is: 9,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803 : 34,206.42 = 6,387 : x
  2. Step 2: Convert to fraction form
    22,803/34,206.42 = 6,387/x
  3. Step 3: Cross multiply
    22,803x = 34,206.42 × 6,387
  4. Step 4: Simplify right side
    22,803x = 218,476,404.54
  5. Step 5: Solve for x
    x = 218,476,404.54/22,803
  6. Step 6: Final answer
    x = 9,581.04

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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.