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Finding the Fourth Proportional to 13,909.48, 19,196.46 and 7,942.05

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Solution

The fourth proportional to 13,909.48, 19,196.46 and 7,942.05 is: 10,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.48 : 19,196.46 = 7,942.05 : x
  2. Step 2: Convert to fraction form
    13,909.48/19,196.46 = 7,942.05/x
  3. Step 3: Cross multiply
    13,909.48x = 19,196.46 × 7,942.05
  4. Step 4: Simplify right side
    13,909.48x = 152,459,245.14
  5. Step 5: Solve for x
    x = 152,459,245.14/13,909.48
  6. Step 6: Final answer
    x = 10,960.82

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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.