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Finding the Fourth Proportional to 21,908.66, 32,877.59 and 8,057.66

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Solution

The fourth proportional to 21,908.66, 32,877.59 and 8,057.66 is: 12,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.66 : 32,877.59 = 8,057.66 : x
  2. Step 2: Convert to fraction form
    21,908.66/32,877.59 = 8,057.66/x
  3. Step 3: Cross multiply
    21,908.66x = 32,877.59 × 8,057.66
  4. Step 4: Simplify right side
    21,908.66x = 264,916,237.16
  5. Step 5: Solve for x
    x = 264,916,237.16/21,908.66
  6. Step 6: Final answer
    x = 12,091.85

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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.