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Finding the Fourth Proportional to 16,205.26, 22,357.80 and 13,215.90

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Solution

The fourth proportional to 16,205.26, 22,357.80 and 13,215.90 is: 18,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.26 : 22,357.80 = 13,215.90 : x
  2. Step 2: Convert to fraction form
    16,205.26/22,357.80 = 13,215.90/x
  3. Step 3: Cross multiply
    16,205.26x = 22,357.80 × 13,215.90
  4. Step 4: Simplify right side
    16,205.26x = 295,478,449.02
  5. Step 5: Solve for x
    x = 295,478,449.02/16,205.26
  6. Step 6: Final answer
    x = 18,233.49

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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.