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Finding the Fourth Proportional to 22,906.78, 34,338.22 and 14,560.94

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Solution

The fourth proportional to 22,906.78, 34,338.22 and 14,560.94 is: 21,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.78 : 34,338.22 = 14,560.94 : x
  2. Step 2: Convert to fraction form
    22,906.78/34,338.22 = 14,560.94/x
  3. Step 3: Cross multiply
    22,906.78x = 34,338.22 × 14,560.94
  4. Step 4: Simplify right side
    22,906.78x = 499,996,761.13
  5. Step 5: Solve for x
    x = 499,996,761.13/22,906.78
  6. Step 6: Final answer
    x = 21,827.46

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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.