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Finding the Fourth Proportional to 22,094.78, 30,490.19 and 12,022.99

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Solution

The fourth proportional to 22,094.78, 30,490.19 and 12,022.99 is: 16,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,094.78 : 30,490.19 = 12,022.99 : x
  2. Step 2: Convert to fraction form
    22,094.78/30,490.19 = 12,022.99/x
  3. Step 3: Cross multiply
    22,094.78x = 30,490.19 × 12,022.99
  4. Step 4: Simplify right side
    22,094.78x = 366,583,036.90
  5. Step 5: Solve for x
    x = 366,583,036.90/22,094.78
  6. Step 6: Final answer
    x = 16,591.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.