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Finding the Fourth Proportional to 22,585.88, 33,899.49 and 11,500.22

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Solution

The fourth proportional to 22,585.88, 33,899.49 and 11,500.22 is: 17,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.88 : 33,899.49 = 11,500.22 : x
  2. Step 2: Convert to fraction form
    22,585.88/33,899.49 = 11,500.22/x
  3. Step 3: Cross multiply
    22,585.88x = 33,899.49 × 11,500.22
  4. Step 4: Simplify right side
    22,585.88x = 389,851,677.64
  5. Step 5: Solve for x
    x = 389,851,677.64/22,585.88
  6. Step 6: Final answer
    x = 17,260.86

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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.