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Finding the Fourth Proportional to 14,141.96, 19,517.45 and 8,092.76

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Solution

The fourth proportional to 14,141.96, 19,517.45 and 8,092.76 is: 11,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.96 : 19,517.45 = 8,092.76 : x
  2. Step 2: Convert to fraction form
    14,141.96/19,517.45 = 8,092.76/x
  3. Step 3: Cross multiply
    14,141.96x = 19,517.45 × 8,092.76
  4. Step 4: Simplify right side
    14,141.96x = 157,949,900.61
  5. Step 5: Solve for x
    x = 157,949,900.61/14,141.96
  6. Step 6: Final answer
    x = 11,168.89

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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.