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Finding the Fourth Proportional to 14,419.71, 19,902.83 and 8,135.73

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Solution

The fourth proportional to 14,419.71, 19,902.83 and 8,135.73 is: 11,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.71 : 19,902.83 = 8,135.73 : x
  2. Step 2: Convert to fraction form
    14,419.71/19,902.83 = 8,135.73/x
  3. Step 3: Cross multiply
    14,419.71x = 19,902.83 × 8,135.73
  4. Step 4: Simplify right side
    14,419.71x = 161,924,010.44
  5. Step 5: Solve for x
    x = 161,924,010.44/14,419.71
  6. Step 6: Final answer
    x = 11,229.35

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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.