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Finding the Fourth Proportional to 22,497.28, 33,745.08 and 6,914.50

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Solution

The fourth proportional to 22,497.28, 33,745.08 and 6,914.50 is: 10,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.28 : 33,745.08 = 6,914.50 : x
  2. Step 2: Convert to fraction form
    22,497.28/33,745.08 = 6,914.50/x
  3. Step 3: Cross multiply
    22,497.28x = 33,745.08 × 6,914.50
  4. Step 4: Simplify right side
    22,497.28x = 233,330,355.66
  5. Step 5: Solve for x
    x = 233,330,355.66/22,497.28
  6. Step 6: Final answer
    x = 10,371.49

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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.