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Finding the Fourth Proportional to 12,889.49, 19,295.31 and 11,657.48

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Solution

The fourth proportional to 12,889.49, 19,295.31 and 11,657.48 is: 17,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.49 : 19,295.31 = 11,657.48 : x
  2. Step 2: Convert to fraction form
    12,889.49/19,295.31 = 11,657.48/x
  3. Step 3: Cross multiply
    12,889.49x = 19,295.31 × 11,657.48
  4. Step 4: Simplify right side
    12,889.49x = 224,934,690.42
  5. Step 5: Solve for x
    x = 224,934,690.42/12,889.49
  6. Step 6: Final answer
    x = 17,451.02

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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.