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Finding the Fourth Proportional to 22,094.66, 30,469.74 and 14,123

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Solution

The fourth proportional to 22,094.66, 30,469.74 and 14,123 is: 19,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,094.66 : 30,469.74 = 14,123 : x
  2. Step 2: Convert to fraction form
    22,094.66/30,469.74 = 14,123/x
  3. Step 3: Cross multiply
    22,094.66x = 30,469.74 × 14,123
  4. Step 4: Simplify right side
    22,094.66x = 430,324,138.02
  5. Step 5: Solve for x
    x = 430,324,138.02/22,094.66
  6. Step 6: Final answer
    x = 19,476.39

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1.5x scale

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.