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Finding the Fourth Proportional to 22,080.89, 33,089.12 and 10,238.28

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Solution

The fourth proportional to 22,080.89, 33,089.12 and 10,238.28 is: 15,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080.89 : 33,089.12 = 10,238.28 : x
  2. Step 2: Convert to fraction form
    22,080.89/33,089.12 = 10,238.28/x
  3. Step 3: Cross multiply
    22,080.89x = 33,089.12 × 10,238.28
  4. Step 4: Simplify right side
    22,080.89x = 338,775,675.51
  5. Step 5: Solve for x
    x = 338,775,675.51/22,080.89
  6. Step 6: Final answer
    x = 15,342.49

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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.