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Finding the Fourth Proportional to 16,147.26, 22,283.37 and 9,774

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Solution

The fourth proportional to 16,147.26, 22,283.37 and 9,774 is: 13,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.26 : 22,283.37 = 9,774 : x
  2. Step 2: Convert to fraction form
    16,147.26/22,283.37 = 9,774/x
  3. Step 3: Cross multiply
    16,147.26x = 22,283.37 × 9,774
  4. Step 4: Simplify right side
    16,147.26x = 217,797,658.38
  5. Step 5: Solve for x
    x = 217,797,658.38/16,147.26
  6. Step 6: Final answer
    x = 13,488.21

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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.