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Finding the Fourth Proportional to 14,040.64, 19,376.08 and 8,074.23

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Solution

The fourth proportional to 14,040.64, 19,376.08 and 8,074.23 is: 11,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040.64 : 19,376.08 = 8,074.23 : x
  2. Step 2: Convert to fraction form
    14,040.64/19,376.08 = 8,074.23/x
  3. Step 3: Cross multiply
    14,040.64x = 19,376.08 × 8,074.23
  4. Step 4: Simplify right side
    14,040.64x = 156,446,942.56
  5. Step 5: Solve for x
    x = 156,446,942.56/14,040.64
  6. Step 6: Final answer
    x = 11,142.44

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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.