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Finding the Fourth Proportional to 12,889.88, 19,309.20 and 8,494.02

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Solution

The fourth proportional to 12,889.88, 19,309.20 and 8,494.02 is: 12,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.88 : 19,309.20 = 8,494.02 : x
  2. Step 2: Convert to fraction form
    12,889.88/19,309.20 = 8,494.02/x
  3. Step 3: Cross multiply
    12,889.88x = 19,309.20 × 8,494.02
  4. Step 4: Simplify right side
    12,889.88x = 164,012,730.98
  5. Step 5: Solve for x
    x = 164,012,730.98/12,889.88
  6. Step 6: Final answer
    x = 12,724.15

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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.