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Finding the Fourth Proportional to 22,402.50, 33,608.07 and 10,090.50

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Solution

The fourth proportional to 22,402.50, 33,608.07 and 10,090.50 is: 15,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.50 : 33,608.07 = 10,090.50 : x
  2. Step 2: Convert to fraction form
    22,402.50/33,608.07 = 10,090.50/x
  3. Step 3: Cross multiply
    22,402.50x = 33,608.07 × 10,090.50
  4. Step 4: Simplify right side
    22,402.50x = 339,122,230.34
  5. Step 5: Solve for x
    x = 339,122,230.34/22,402.50
  6. Step 6: Final answer
    x = 15,137.70

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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.