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Finding the Fourth Proportional to 13,909.73, 19,196.78 and 7,942.28

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Solution

The fourth proportional to 13,909.73, 19,196.78 and 7,942.28 is: 10,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.73 : 19,196.78 = 7,942.28 : x
  2. Step 2: Convert to fraction form
    13,909.73/19,196.78 = 7,942.28/x
  3. Step 3: Cross multiply
    13,909.73x = 19,196.78 × 7,942.28
  4. Step 4: Simplify right side
    13,909.73x = 152,466,066.16
  5. Step 5: Solve for x
    x = 152,466,066.16/13,909.73
  6. Step 6: Final answer
    x = 10,961.11

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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.