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Finding the Fourth Proportional to 14,452.30, 19,943.16 and 8,163.46

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Solution

The fourth proportional to 14,452.30, 19,943.16 and 8,163.46 is: 11,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.30 : 19,943.16 = 8,163.46 : x
  2. Step 2: Convert to fraction form
    14,452.30/19,943.16 = 8,163.46/x
  3. Step 3: Cross multiply
    14,452.30x = 19,943.16 × 8,163.46
  4. Step 4: Simplify right side
    14,452.30x = 162,805,188.93
  5. Step 5: Solve for x
    x = 162,805,188.93/14,452.30
  6. Step 6: Final answer
    x = 11,265.00

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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.