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Finding the Fourth Proportional to 24,221, 36,333.72 and 8,428.84

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Solution

The fourth proportional to 24,221, 36,333.72 and 8,428.84 is: 12,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221 : 36,333.72 = 8,428.84 : x
  2. Step 2: Convert to fraction form
    24,221/36,333.72 = 8,428.84/x
  3. Step 3: Cross multiply
    24,221x = 36,333.72 × 8,428.84
  4. Step 4: Simplify right side
    24,221x = 306,251,112.48
  5. Step 5: Solve for x
    x = 306,251,112.48/24,221
  6. Step 6: Final answer
    x = 12,644.03

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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.