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Finding the Fourth Proportional to 13,909.68, 19,196.94 and 7,942.20

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Solution

The fourth proportional to 13,909.68, 19,196.94 and 7,942.20 is: 10,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.68 : 19,196.94 = 7,942.20 : x
  2. Step 2: Convert to fraction form
    13,909.68/19,196.94 = 7,942.20/x
  3. Step 3: Cross multiply
    13,909.68x = 19,196.94 × 7,942.20
  4. Step 4: Simplify right side
    13,909.68x = 152,465,936.87
  5. Step 5: Solve for x
    x = 152,465,936.87/13,909.68
  6. Step 6: Final answer
    x = 10,961.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.