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Finding the Fourth Proportional to 16,196.68, 22,346.58 and 9,902.44

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Solution

The fourth proportional to 16,196.68, 22,346.58 and 9,902.44 is: 13,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.68 : 22,346.58 = 9,902.44 : x
  2. Step 2: Convert to fraction form
    16,196.68/22,346.58 = 9,902.44/x
  3. Step 3: Cross multiply
    16,196.68x = 22,346.58 × 9,902.44
  4. Step 4: Simplify right side
    16,196.68x = 221,285,667.66
  5. Step 5: Solve for x
    x = 221,285,667.66/16,196.68
  6. Step 6: Final answer
    x = 13,662.41

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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.