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Finding the Fourth Proportional to 22,267.40, 30,716.70 and 15,204.20

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Solution

The fourth proportional to 22,267.40, 30,716.70 and 15,204.20 is: 20,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.40 : 30,716.70 = 15,204.20 : x
  2. Step 2: Convert to fraction form
    22,267.40/30,716.70 = 15,204.20/x
  3. Step 3: Cross multiply
    22,267.40x = 30,716.70 × 15,204.20
  4. Step 4: Simplify right side
    22,267.40x = 467,022,850.14
  5. Step 5: Solve for x
    x = 467,022,850.14/22,267.40
  6. Step 6: Final answer
    x = 20,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.