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Finding the Fourth Proportional to 13,827.87, 20,741.72 and 8,282.79

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Solution

The fourth proportional to 13,827.87, 20,741.72 and 8,282.79 is: 12,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.87 : 20,741.72 = 8,282.79 : x
  2. Step 2: Convert to fraction form
    13,827.87/20,741.72 = 8,282.79/x
  3. Step 3: Cross multiply
    13,827.87x = 20,741.72 × 8,282.79
  4. Step 4: Simplify right side
    13,827.87x = 171,799,269.58
  5. Step 5: Solve for x
    x = 171,799,269.58/13,827.87
  6. Step 6: Final answer
    x = 12,424.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.