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Finding the Fourth Proportional to 15,640.69, 21,586.23 and 8,924.78

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Solution

The fourth proportional to 15,640.69, 21,586.23 and 8,924.78 is: 12,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.69 : 21,586.23 = 8,924.78 : x
  2. Step 2: Convert to fraction form
    15,640.69/21,586.23 = 8,924.78/x
  3. Step 3: Cross multiply
    15,640.69x = 21,586.23 × 8,924.78
  4. Step 4: Simplify right side
    15,640.69x = 192,652,286.32
  5. Step 5: Solve for x
    x = 192,652,286.32/15,640.69
  6. Step 6: Final answer
    x = 12,317.38

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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.