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Finding the Fourth Proportional to 22,118.64, 33,169.32 and 9,798

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Solution

The fourth proportional to 22,118.64, 33,169.32 and 9,798 is: 14,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,118.64 : 33,169.32 = 9,798 : x
  2. Step 2: Convert to fraction form
    22,118.64/33,169.32 = 9,798/x
  3. Step 3: Cross multiply
    22,118.64x = 33,169.32 × 9,798
  4. Step 4: Simplify right side
    22,118.64x = 324,992,997.36
  5. Step 5: Solve for x
    x = 324,992,997.36/22,118.64
  6. Step 6: Final answer
    x = 14,693.17

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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.