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Finding the Fourth Proportional to 13,909.32, 19,194.12 and 7,940.76

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Solution

The fourth proportional to 13,909.32, 19,194.12 and 7,940.76 is: 10,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.32 : 19,194.12 = 7,940.76 : x
  2. Step 2: Convert to fraction form
    13,909.32/19,194.12 = 7,940.76/x
  3. Step 3: Cross multiply
    13,909.32x = 19,194.12 × 7,940.76
  4. Step 4: Simplify right side
    13,909.32x = 152,415,900.33
  5. Step 5: Solve for x
    x = 152,415,900.33/13,909.32
  6. Step 6: Final answer
    x = 10,957.83

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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.