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Finding the Fourth Proportional to 12,182.97, 16,813.26 and 7,406.28

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Solution

The fourth proportional to 12,182.97, 16,813.26 and 7,406.28 is: 10,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.97 : 16,813.26 = 7,406.28 : x
  2. Step 2: Convert to fraction form
    12,182.97/16,813.26 = 7,406.28/x
  3. Step 3: Cross multiply
    12,182.97x = 16,813.26 × 7,406.28
  4. Step 4: Simplify right side
    12,182.97x = 124,523,711.27
  5. Step 5: Solve for x
    x = 124,523,711.27/12,182.97
  6. Step 6: Final answer
    x = 10,221.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.