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Finding the Fourth Proportional to 22,244.28, 33,331.86 and 14,019

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Solution

The fourth proportional to 22,244.28, 33,331.86 and 14,019 is: 21,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,244.28 : 33,331.86 = 14,019 : x
  2. Step 2: Convert to fraction form
    22,244.28/33,331.86 = 14,019/x
  3. Step 3: Cross multiply
    22,244.28x = 33,331.86 × 14,019
  4. Step 4: Simplify right side
    22,244.28x = 467,279,345.34
  5. Step 5: Solve for x
    x = 467,279,345.34/22,244.28
  6. Step 6: Final answer
    x = 21,006.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.