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Finding the Fourth Proportional to 16,241.08, 22,412.82 and 9,071.68

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Solution

The fourth proportional to 16,241.08, 22,412.82 and 9,071.68 is: 12,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.08 : 22,412.82 = 9,071.68 : x
  2. Step 2: Convert to fraction form
    16,241.08/22,412.82 = 9,071.68/x
  3. Step 3: Cross multiply
    16,241.08x = 22,412.82 × 9,071.68
  4. Step 4: Simplify right side
    16,241.08x = 203,321,930.94
  5. Step 5: Solve for x
    x = 203,321,930.94/16,241.08
  6. Step 6: Final answer
    x = 12,518.99

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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.