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Finding the Fourth Proportional to 12,884.87, 19,301.69 and 8,489.00

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Solution

The fourth proportional to 12,884.87, 19,301.69 and 8,489.00 is: 12,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.87 : 19,301.69 = 8,489.00 : x
  2. Step 2: Convert to fraction form
    12,884.87/19,301.69 = 8,489.00/x
  3. Step 3: Cross multiply
    12,884.87x = 19,301.69 × 8,489.00
  4. Step 4: Simplify right side
    12,884.87x = 163,852,115.89
  5. Step 5: Solve for x
    x = 163,852,115.89/12,884.87
  6. Step 6: Final answer
    x = 12,716.63

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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.