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Finding the Fourth Proportional to 14,376.50, 19,842.42 and 8,327.73

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Solution

The fourth proportional to 14,376.50, 19,842.42 and 8,327.73 is: 11,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.50 : 19,842.42 = 8,327.73 : x
  2. Step 2: Convert to fraction form
    14,376.50/19,842.42 = 8,327.73/x
  3. Step 3: Cross multiply
    14,376.50x = 19,842.42 × 8,327.73
  4. Step 4: Simplify right side
    14,376.50x = 165,242,316.31
  5. Step 5: Solve for x
    x = 165,242,316.31/14,376.50
  6. Step 6: Final answer
    x = 11,493.92

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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.