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Finding the Fourth Proportional to 17,474.06, 24,114.24 and 10,400.30

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Solution

The fourth proportional to 17,474.06, 24,114.24 and 10,400.30 is: 14,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.06 : 24,114.24 = 10,400.30 : x
  2. Step 2: Convert to fraction form
    17,474.06/24,114.24 = 10,400.30/x
  3. Step 3: Cross multiply
    17,474.06x = 24,114.24 × 10,400.30
  4. Step 4: Simplify right side
    17,474.06x = 250,795,330.27
  5. Step 5: Solve for x
    x = 250,795,330.27/17,474.06
  6. Step 6: Final answer
    x = 14,352.44

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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.