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Finding the Fourth Proportional to 14,606.40, 21,891.14 and 7,942.62

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Solution

The fourth proportional to 14,606.40, 21,891.14 and 7,942.62 is: 11,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.40 : 21,891.14 = 7,942.62 : x
  2. Step 2: Convert to fraction form
    14,606.40/21,891.14 = 7,942.62/x
  3. Step 3: Cross multiply
    14,606.40x = 21,891.14 × 7,942.62
  4. Step 4: Simplify right side
    14,606.40x = 173,873,006.39
  5. Step 5: Solve for x
    x = 173,873,006.39/14,606.40
  6. Step 6: Final answer
    x = 11,903.89

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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.