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Finding the Fourth Proportional to 22,533.57, 33,821.42 and 11,448.18

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Solution

The fourth proportional to 22,533.57, 33,821.42 and 11,448.18 is: 17,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.57 : 33,821.42 = 11,448.18 : x
  2. Step 2: Convert to fraction form
    22,533.57/33,821.42 = 11,448.18/x
  3. Step 3: Cross multiply
    22,533.57x = 33,821.42 × 11,448.18
  4. Step 4: Simplify right side
    22,533.57x = 387,193,646.77
  5. Step 5: Solve for x
    x = 387,193,646.77/22,533.57
  6. Step 6: Final answer
    x = 17,182.97

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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.