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Finding the Fourth Proportional to 22,433, 33,649.50 and 6,017

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Solution

The fourth proportional to 22,433, 33,649.50 and 6,017 is: 9,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433 : 33,649.50 = 6,017 : x
  2. Step 2: Convert to fraction form
    22,433/33,649.50 = 6,017/x
  3. Step 3: Cross multiply
    22,433x = 33,649.50 × 6,017
  4. Step 4: Simplify right side
    22,433x = 202,469,041.50
  5. Step 5: Solve for x
    x = 202,469,041.50/22,433
  6. Step 6: Final answer
    x = 9,025.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.