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Finding the Fourth Proportional to 22,056.72, 33,065.64 and 8,196

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Solution

The fourth proportional to 22,056.72, 33,065.64 and 8,196 is: 12,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.72 : 33,065.64 = 8,196 : x
  2. Step 2: Convert to fraction form
    22,056.72/33,065.64 = 8,196/x
  3. Step 3: Cross multiply
    22,056.72x = 33,065.64 × 8,196
  4. Step 4: Simplify right side
    22,056.72x = 271,005,985.44
  5. Step 5: Solve for x
    x = 271,005,985.44/22,056.72
  6. Step 6: Final answer
    x = 12,286.78

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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.