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Finding the Fourth Proportional to 19,889.18, 29,847.18 and 8,202.14

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Solution

The fourth proportional to 19,889.18, 29,847.18 and 8,202.14 is: 12,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.18 : 29,847.18 = 8,202.14 : x
  2. Step 2: Convert to fraction form
    19,889.18/29,847.18 = 8,202.14/x
  3. Step 3: Cross multiply
    19,889.18x = 29,847.18 × 8,202.14
  4. Step 4: Simplify right side
    19,889.18x = 244,810,599.73
  5. Step 5: Solve for x
    x = 244,810,599.73/19,889.18
  6. Step 6: Final answer
    x = 12,308.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.