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Finding the Fourth Proportional to 14,382.25, 21,542.22 and 6,971.21

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Solution

The fourth proportional to 14,382.25, 21,542.22 and 6,971.21 is: 10,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.25 : 21,542.22 = 6,971.21 : x
  2. Step 2: Convert to fraction form
    14,382.25/21,542.22 = 6,971.21/x
  3. Step 3: Cross multiply
    14,382.25x = 21,542.22 × 6,971.21
  4. Step 4: Simplify right side
    14,382.25x = 150,175,196.92
  5. Step 5: Solve for x
    x = 150,175,196.92/14,382.25
  6. Step 6: Final answer
    x = 10,441.70

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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.