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Finding the Fourth Proportional to 22,315.69, 30,836.40 and 16,255.38

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Solution

The fourth proportional to 22,315.69, 30,836.40 and 16,255.38 is: 22,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.69 : 30,836.40 = 16,255.38 : x
  2. Step 2: Convert to fraction form
    22,315.69/30,836.40 = 16,255.38/x
  3. Step 3: Cross multiply
    22,315.69x = 30,836.40 × 16,255.38
  4. Step 4: Simplify right side
    22,315.69x = 501,257,399.83
  5. Step 5: Solve for x
    x = 501,257,399.83/22,315.69
  6. Step 6: Final answer
    x = 22,462.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.