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Finding the Fourth Proportional to 12,544.72, 18,817.44 and 6,994.96

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Solution

The fourth proportional to 12,544.72, 18,817.44 and 6,994.96 is: 10,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.72 : 18,817.44 = 6,994.96 : x
  2. Step 2: Convert to fraction form
    12,544.72/18,817.44 = 6,994.96/x
  3. Step 3: Cross multiply
    12,544.72x = 18,817.44 × 6,994.96
  4. Step 4: Simplify right side
    12,544.72x = 131,627,240.10
  5. Step 5: Solve for x
    x = 131,627,240.10/12,544.72
  6. Step 6: Final answer
    x = 10,492.64

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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.