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Finding the Fourth Proportional to 13,411.87, 18,499.96 and 8,638

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Solution

The fourth proportional to 13,411.87, 18,499.96 and 8,638 is: 11,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.87 : 18,499.96 = 8,638 : x
  2. Step 2: Convert to fraction form
    13,411.87/18,499.96 = 8,638/x
  3. Step 3: Cross multiply
    13,411.87x = 18,499.96 × 8,638
  4. Step 4: Simplify right side
    13,411.87x = 159,802,654.48
  5. Step 5: Solve for x
    x = 159,802,654.48/13,411.87
  6. Step 6: Final answer
    x = 11,915.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.