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Finding the Fourth Proportional to 11,909.70, 16,398 and 10,113.44

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Solution

The fourth proportional to 11,909.70, 16,398 and 10,113.44 is: 13,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.70 : 16,398 = 10,113.44 : x
  2. Step 2: Convert to fraction form
    11,909.70/16,398 = 10,113.44/x
  3. Step 3: Cross multiply
    11,909.70x = 16,398 × 10,113.44
  4. Step 4: Simplify right side
    11,909.70x = 165,840,107.13
  5. Step 5: Solve for x
    x = 165,840,107.13/11,909.70
  6. Step 6: Final answer
    x = 13,924.79

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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.