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Finding the Fourth Proportional to 14,419.72, 19,902.82 and 8,135.74

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Solution

The fourth proportional to 14,419.72, 19,902.82 and 8,135.74 is: 11,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.72 : 19,902.82 = 8,135.74 : x
  2. Step 2: Convert to fraction form
    14,419.72/19,902.82 = 8,135.74/x
  3. Step 3: Cross multiply
    14,419.72x = 19,902.82 × 8,135.74
  4. Step 4: Simplify right side
    14,419.72x = 161,924,168.79
  5. Step 5: Solve for x
    x = 161,924,168.79/14,419.72
  6. Step 6: Final answer
    x = 11,229.36

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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.