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Finding the Fourth Proportional to 22,640.10, 33,973.38 and 9,491.46

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Solution

The fourth proportional to 22,640.10, 33,973.38 and 9,491.46 is: 14,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.10 : 33,973.38 = 9,491.46 : x
  2. Step 2: Convert to fraction form
    22,640.10/33,973.38 = 9,491.46/x
  3. Step 3: Cross multiply
    22,640.10x = 33,973.38 × 9,491.46
  4. Step 4: Simplify right side
    22,640.10x = 322,456,977.33
  5. Step 5: Solve for x
    x = 322,456,977.33/22,640.10
  6. Step 6: Final answer
    x = 14,242.74

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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.