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Finding the Fourth Proportional to 15,939.80, 21,995.38 and 9,224.09

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Solution

The fourth proportional to 15,939.80, 21,995.38 and 9,224.09 is: 12,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,939.80 : 21,995.38 = 9,224.09 : x
  2. Step 2: Convert to fraction form
    15,939.80/21,995.38 = 9,224.09/x
  3. Step 3: Cross multiply
    15,939.80x = 21,995.38 × 9,224.09
  4. Step 4: Simplify right side
    15,939.80x = 202,887,364.70
  5. Step 5: Solve for x
    x = 202,887,364.70/15,939.80
  6. Step 6: Final answer
    x = 12,728.35

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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.