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Finding the Fourth Proportional to 22,824.84, 34,239.78 and 9,678.36

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Solution

The fourth proportional to 22,824.84, 34,239.78 and 9,678.36 is: 14,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.84 : 34,239.78 = 9,678.36 : x
  2. Step 2: Convert to fraction form
    22,824.84/34,239.78 = 9,678.36/x
  3. Step 3: Cross multiply
    22,824.84x = 34,239.78 × 9,678.36
  4. Step 4: Simplify right side
    22,824.84x = 331,384,917.16
  5. Step 5: Solve for x
    x = 331,384,917.16/22,824.84
  6. Step 6: Final answer
    x = 14,518.61

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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.