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Finding the Fourth Proportional to 10,954.20, 16,431.30 and 9,107.40

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Solution

The fourth proportional to 10,954.20, 16,431.30 and 9,107.40 is: 13,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.20 : 16,431.30 = 9,107.40 : x
  2. Step 2: Convert to fraction form
    10,954.20/16,431.30 = 9,107.40/x
  3. Step 3: Cross multiply
    10,954.20x = 16,431.30 × 9,107.40
  4. Step 4: Simplify right side
    10,954.20x = 149,646,421.62
  5. Step 5: Solve for x
    x = 149,646,421.62/10,954.20
  6. Step 6: Final answer
    x = 13,661.10

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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.