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Finding the Fourth Proportional to 22,056, 33,088.32 and 9,744

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Solution

The fourth proportional to 22,056, 33,088.32 and 9,744 is: 14,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056 : 33,088.32 = 9,744 : x
  2. Step 2: Convert to fraction form
    22,056/33,088.32 = 9,744/x
  3. Step 3: Cross multiply
    22,056x = 33,088.32 × 9,744
  4. Step 4: Simplify right side
    22,056x = 322,412,590.08
  5. Step 5: Solve for x
    x = 322,412,590.08/22,056
  6. Step 6: Final answer
    x = 14,617.91

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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.