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Finding the Fourth Proportional to 14,200.14, 19,591.02 and 8,229.64

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Solution

The fourth proportional to 14,200.14, 19,591.02 and 8,229.64 is: 11,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.14 : 19,591.02 = 8,229.64 : x
  2. Step 2: Convert to fraction form
    14,200.14/19,591.02 = 8,229.64/x
  3. Step 3: Cross multiply
    14,200.14x = 19,591.02 × 8,229.64
  4. Step 4: Simplify right side
    14,200.14x = 161,227,041.83
  5. Step 5: Solve for x
    x = 161,227,041.83/14,200.14
  6. Step 6: Final answer
    x = 11,353.91

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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.