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Finding the Fourth Proportional to 16,097.56, 22,216.26 and 9,813.64

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Solution

The fourth proportional to 16,097.56, 22,216.26 and 9,813.64 is: 13,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.56 : 22,216.26 = 9,813.64 : x
  2. Step 2: Convert to fraction form
    16,097.56/22,216.26 = 9,813.64/x
  3. Step 3: Cross multiply
    16,097.56x = 22,216.26 × 9,813.64
  4. Step 4: Simplify right side
    16,097.56x = 218,022,377.79
  5. Step 5: Solve for x
    x = 218,022,377.79/16,097.56
  6. Step 6: Final answer
    x = 13,543.82

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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.