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Finding the Fourth Proportional to 11,474.30, 17,165.42 and 9,931.10

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Solution

The fourth proportional to 11,474.30, 17,165.42 and 9,931.10 is: 14,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.30 : 17,165.42 = 9,931.10 : x
  2. Step 2: Convert to fraction form
    11,474.30/17,165.42 = 9,931.10/x
  3. Step 3: Cross multiply
    11,474.30x = 17,165.42 × 9,931.10
  4. Step 4: Simplify right side
    11,474.30x = 170,471,367.08
  5. Step 5: Solve for x
    x = 170,471,367.08/11,474.30
  6. Step 6: Final answer
    x = 14,856.81

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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.