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Finding the Fourth Proportional to 22,447.96, 30,965.34 and 14,049.88

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Solution

The fourth proportional to 22,447.96, 30,965.34 and 14,049.88 is: 19,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.96 : 30,965.34 = 14,049.88 : x
  2. Step 2: Convert to fraction form
    22,447.96/30,965.34 = 14,049.88/x
  3. Step 3: Cross multiply
    22,447.96x = 30,965.34 × 14,049.88
  4. Step 4: Simplify right side
    22,447.96x = 435,059,311.16
  5. Step 5: Solve for x
    x = 435,059,311.16/22,447.96
  6. Step 6: Final answer
    x = 19,380.80

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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.