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Finding the Fourth Proportional to 13,861.64, 19,129.56 and 8,193.80

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Solution

The fourth proportional to 13,861.64, 19,129.56 and 8,193.80 is: 11,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.64 : 19,129.56 = 8,193.80 : x
  2. Step 2: Convert to fraction form
    13,861.64/19,129.56 = 8,193.80/x
  3. Step 3: Cross multiply
    13,861.64x = 19,129.56 × 8,193.80
  4. Step 4: Simplify right side
    13,861.64x = 156,743,788.73
  5. Step 5: Solve for x
    x = 156,743,788.73/13,861.64
  6. Step 6: Final answer
    x = 11,307.74

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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.