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Finding the Fourth Proportional to 13,033.53, 19,550.28 and 9,155.25

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Solution

The fourth proportional to 13,033.53, 19,550.28 and 9,155.25 is: 13,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.53 : 19,550.28 = 9,155.25 : x
  2. Step 2: Convert to fraction form
    13,033.53/19,550.28 = 9,155.25/x
  3. Step 3: Cross multiply
    13,033.53x = 19,550.28 × 9,155.25
  4. Step 4: Simplify right side
    13,033.53x = 178,987,700.97
  5. Step 5: Solve for x
    x = 178,987,700.97/13,033.53
  6. Step 6: Final answer
    x = 13,732.86

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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.