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Finding the Fourth Proportional to 22,914.21, 34,383.92 and 9,596.76

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Solution

The fourth proportional to 22,914.21, 34,383.92 and 9,596.76 is: 14,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.21 : 34,383.92 = 9,596.76 : x
  2. Step 2: Convert to fraction form
    22,914.21/34,383.92 = 9,596.76/x
  3. Step 3: Cross multiply
    22,914.21x = 34,383.92 × 9,596.76
  4. Step 4: Simplify right side
    22,914.21x = 329,974,180.12
  5. Step 5: Solve for x
    x = 329,974,180.12/22,914.21
  6. Step 6: Final answer
    x = 14,400.42

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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.