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Finding the Fourth Proportional to 16,241.64, 22,414.52 and 9,165.48

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Solution

The fourth proportional to 16,241.64, 22,414.52 and 9,165.48 is: 12,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.64 : 22,414.52 = 9,165.48 : x
  2. Step 2: Convert to fraction form
    16,241.64/22,414.52 = 9,165.48/x
  3. Step 3: Cross multiply
    16,241.64x = 22,414.52 × 9,165.48
  4. Step 4: Simplify right side
    16,241.64x = 205,439,834.77
  5. Step 5: Solve for x
    x = 205,439,834.77/16,241.64
  6. Step 6: Final answer
    x = 12,648.96

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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.