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Finding the Fourth Proportional to 22,357.89, 30,852.09 and 12,286.08

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Solution

The fourth proportional to 22,357.89, 30,852.09 and 12,286.08 is: 16,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.89 : 30,852.09 = 12,286.08 : x
  2. Step 2: Convert to fraction form
    22,357.89/30,852.09 = 12,286.08/x
  3. Step 3: Cross multiply
    22,357.89x = 30,852.09 × 12,286.08
  4. Step 4: Simplify right side
    22,357.89x = 379,051,245.91
  5. Step 5: Solve for x
    x = 379,051,245.91/22,357.89
  6. Step 6: Final answer
    x = 16,953.80

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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.