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Finding the Fourth Proportional to 12,994.49, 19,493.78 and 4,227.35

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Solution

The fourth proportional to 12,994.49, 19,493.78 and 4,227.35 is: 6,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.49 : 19,493.78 = 4,227.35 : x
  2. Step 2: Convert to fraction form
    12,994.49/19,493.78 = 4,227.35/x
  3. Step 3: Cross multiply
    12,994.49x = 19,493.78 × 4,227.35
  4. Step 4: Simplify right side
    12,994.49x = 82,406,912.28
  5. Step 5: Solve for x
    x = 82,406,912.28/12,994.49
  6. Step 6: Final answer
    x = 6,341.68

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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.