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Finding the Fourth Proportional to 22,645.69, 33,957.61 and 9,494.53

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Solution

The fourth proportional to 22,645.69, 33,957.61 and 9,494.53 is: 14,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.69 : 33,957.61 = 9,494.53 : x
  2. Step 2: Convert to fraction form
    22,645.69/33,957.61 = 9,494.53/x
  3. Step 3: Cross multiply
    22,645.69x = 33,957.61 × 9,494.53
  4. Step 4: Simplify right side
    22,645.69x = 322,411,546.87
  5. Step 5: Solve for x
    x = 322,411,546.87/22,645.69
  6. Step 6: Final answer
    x = 14,237.21

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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.