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Finding the Fourth Proportional to 13,614.17, 18,787.41 and 7,645.41

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Solution

The fourth proportional to 13,614.17, 18,787.41 and 7,645.41 is: 10,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.17 : 18,787.41 = 7,645.41 : x
  2. Step 2: Convert to fraction form
    13,614.17/18,787.41 = 7,645.41/x
  3. Step 3: Cross multiply
    13,614.17x = 18,787.41 × 7,645.41
  4. Step 4: Simplify right side
    13,614.17x = 143,637,452.29
  5. Step 5: Solve for x
    x = 143,637,452.29/13,614.17
  6. Step 6: Final answer
    x = 10,550.59

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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.