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Finding the Fourth Proportional to 22,231.02, 33,344.10 and 6,645

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Solution

The fourth proportional to 22,231.02, 33,344.10 and 6,645 is: 9,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.02 : 33,344.10 = 6,645 : x
  2. Step 2: Convert to fraction form
    22,231.02/33,344.10 = 6,645/x
  3. Step 3: Cross multiply
    22,231.02x = 33,344.10 × 6,645
  4. Step 4: Simplify right side
    22,231.02x = 221,571,544.50
  5. Step 5: Solve for x
    x = 221,571,544.50/22,231.02
  6. Step 6: Final answer
    x = 9,966.77

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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.