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Finding the Fourth Proportional to 15,867.38, 21,898 and 8,794.26

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Solution

The fourth proportional to 15,867.38, 21,898 and 8,794.26 is: 12,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.38 : 21,898 = 8,794.26 : x
  2. Step 2: Convert to fraction form
    15,867.38/21,898 = 8,794.26/x
  3. Step 3: Cross multiply
    15,867.38x = 21,898 × 8,794.26
  4. Step 4: Simplify right side
    15,867.38x = 192,576,705.48
  5. Step 5: Solve for x
    x = 192,576,705.48/15,867.38
  6. Step 6: Final answer
    x = 12,136.64

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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.