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Finding the Fourth Proportional to 22,542.42, 33,813.47 and 9,212.58

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Solution

The fourth proportional to 22,542.42, 33,813.47 and 9,212.58 is: 13,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.42 : 33,813.47 = 9,212.58 : x
  2. Step 2: Convert to fraction form
    22,542.42/33,813.47 = 9,212.58/x
  3. Step 3: Cross multiply
    22,542.42x = 33,813.47 × 9,212.58
  4. Step 4: Simplify right side
    22,542.42x = 311,509,297.45
  5. Step 5: Solve for x
    x = 311,509,297.45/22,542.42
  6. Step 6: Final answer
    x = 13,818.80

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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.