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Finding the Fourth Proportional to 23,793.84, 32,827.08 and 14,227.08

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Solution

The fourth proportional to 23,793.84, 32,827.08 and 14,227.08 is: 19,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.84 : 32,827.08 = 14,227.08 : x
  2. Step 2: Convert to fraction form
    23,793.84/32,827.08 = 14,227.08/x
  3. Step 3: Cross multiply
    23,793.84x = 32,827.08 × 14,227.08
  4. Step 4: Simplify right side
    23,793.84x = 467,033,493.33
  5. Step 5: Solve for x
    x = 467,033,493.33/23,793.84
  6. Step 6: Final answer
    x = 19,628.34

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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.