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Finding the Fourth Proportional to 16,241.13, 22,411.14 and 9,166.19

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Solution

The fourth proportional to 16,241.13, 22,411.14 and 9,166.19 is: 12,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.13 : 22,411.14 = 9,166.19 : x
  2. Step 2: Convert to fraction form
    16,241.13/22,411.14 = 9,166.19/x
  3. Step 3: Cross multiply
    16,241.13x = 22,411.14 × 9,166.19
  4. Step 4: Simplify right side
    16,241.13x = 205,424,655.30
  5. Step 5: Solve for x
    x = 205,424,655.30/16,241.13
  6. Step 6: Final answer
    x = 12,648.42

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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.