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Finding the Fourth Proportional to 10,954.24, 16,445.49 and 9,404.21

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Solution

The fourth proportional to 10,954.24, 16,445.49 and 9,404.21 is: 14,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.24 : 16,445.49 = 9,404.21 : x
  2. Step 2: Convert to fraction form
    10,954.24/16,445.49 = 9,404.21/x
  3. Step 3: Cross multiply
    10,954.24x = 16,445.49 × 9,404.21
  4. Step 4: Simplify right side
    10,954.24x = 154,656,724.02
  5. Step 5: Solve for x
    x = 154,656,724.02/10,954.24
  6. Step 6: Final answer
    x = 14,118.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.