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Finding the Fourth Proportional to 11,940.23, 17,885.72 and 6,994.87

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Solution

The fourth proportional to 11,940.23, 17,885.72 and 6,994.87 is: 10,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.23 : 17,885.72 = 6,994.87 : x
  2. Step 2: Convert to fraction form
    11,940.23/17,885.72 = 6,994.87/x
  3. Step 3: Cross multiply
    11,940.23x = 17,885.72 × 6,994.87
  4. Step 4: Simplify right side
    11,940.23x = 125,108,259.03
  5. Step 5: Solve for x
    x = 125,108,259.03/11,940.23
  6. Step 6: Final answer
    x = 10,477.87

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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.