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Finding the Fourth Proportional to 12,689.68, 18,994.54 and 11,352.36

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Solution

The fourth proportional to 12,689.68, 18,994.54 and 11,352.36 is: 16,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.68 : 18,994.54 = 11,352.36 : x
  2. Step 2: Convert to fraction form
    12,689.68/18,994.54 = 11,352.36/x
  3. Step 3: Cross multiply
    12,689.68x = 18,994.54 × 11,352.36
  4. Step 4: Simplify right side
    12,689.68x = 215,632,898.96
  5. Step 5: Solve for x
    x = 215,632,898.96/12,689.68
  6. Step 6: Final answer
    x = 16,992.78

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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.