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Finding the Fourth Proportional to 21,913.27, 32,843.95 and 10,057.05

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Solution

The fourth proportional to 21,913.27, 32,843.95 and 10,057.05 is: 15,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913.27 : 32,843.95 = 10,057.05 : x
  2. Step 2: Convert to fraction form
    21,913.27/32,843.95 = 10,057.05/x
  3. Step 3: Cross multiply
    21,913.27x = 32,843.95 × 10,057.05
  4. Step 4: Simplify right side
    21,913.27x = 330,313,197.06
  5. Step 5: Solve for x
    x = 330,313,197.06/21,913.27
  6. Step 6: Final answer
    x = 15,073.66

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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.