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Finding the Fourth Proportional to 22,048, 33,027.54 and 10,185.04

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Solution

The fourth proportional to 22,048, 33,027.54 and 10,185.04 is: 15,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048 : 33,027.54 = 10,185.04 : x
  2. Step 2: Convert to fraction form
    22,048/33,027.54 = 10,185.04/x
  3. Step 3: Cross multiply
    22,048x = 33,027.54 × 10,185.04
  4. Step 4: Simplify right side
    22,048x = 336,386,816.00
  5. Step 5: Solve for x
    x = 336,386,816.00/22,048
  6. Step 6: Final answer
    x = 15,257.02

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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.