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Finding the Fourth Proportional to 14,772.47, 22,147.41 and 7,382.12

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Solution

The fourth proportional to 14,772.47, 22,147.41 and 7,382.12 is: 11,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.47 : 22,147.41 = 7,382.12 : x
  2. Step 2: Convert to fraction form
    14,772.47/22,147.41 = 7,382.12/x
  3. Step 3: Cross multiply
    14,772.47x = 22,147.41 × 7,382.12
  4. Step 4: Simplify right side
    14,772.47x = 163,494,727.57
  5. Step 5: Solve for x
    x = 163,494,727.57/14,772.47
  6. Step 6: Final answer
    x = 11,067.53

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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.