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Finding the Fourth Proportional to 22,482.78, 33,724.08 and 9,999.78

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Solution

The fourth proportional to 22,482.78, 33,724.08 and 9,999.78 is: 14,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.78 : 33,724.08 = 9,999.78 : x
  2. Step 2: Convert to fraction form
    22,482.78/33,724.08 = 9,999.78/x
  3. Step 3: Cross multiply
    22,482.78x = 33,724.08 × 9,999.78
  4. Step 4: Simplify right side
    22,482.78x = 337,233,380.70
  5. Step 5: Solve for x
    x = 337,233,380.70/22,482.78
  6. Step 6: Final answer
    x = 14,999.63

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1.5x scale

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.