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Finding the Fourth Proportional to 15,879.54, 21,914.74 and 9,166.38

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Solution

The fourth proportional to 15,879.54, 21,914.74 and 9,166.38 is: 12,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.54 : 21,914.74 = 9,166.38 : x
  2. Step 2: Convert to fraction form
    15,879.54/21,914.74 = 9,166.38/x
  3. Step 3: Cross multiply
    15,879.54x = 21,914.74 × 9,166.38
  4. Step 4: Simplify right side
    15,879.54x = 200,878,834.44
  5. Step 5: Solve for x
    x = 200,878,834.44/15,879.54
  6. Step 6: Final answer
    x = 12,650.17

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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.