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Finding the Fourth Proportional to 21,186.50, 31,759.07 and 10,090.22

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Solution

The fourth proportional to 21,186.50, 31,759.07 and 10,090.22 is: 15,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.50 : 31,759.07 = 10,090.22 : x
  2. Step 2: Convert to fraction form
    21,186.50/31,759.07 = 10,090.22/x
  3. Step 3: Cross multiply
    21,186.50x = 31,759.07 × 10,090.22
  4. Step 4: Simplify right side
    21,186.50x = 320,455,794.05
  5. Step 5: Solve for x
    x = 320,455,794.05/21,186.50
  6. Step 6: Final answer
    x = 15,125.47

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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.