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Finding the Fourth Proportional to 13,614.96, 18,787.28 and 7,645.26

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Solution

The fourth proportional to 13,614.96, 18,787.28 and 7,645.26 is: 10,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.96 : 18,787.28 = 7,645.26 : x
  2. Step 2: Convert to fraction form
    13,614.96/18,787.28 = 7,645.26/x
  3. Step 3: Cross multiply
    13,614.96x = 18,787.28 × 7,645.26
  4. Step 4: Simplify right side
    13,614.96x = 143,633,640.29
  5. Step 5: Solve for x
    x = 143,633,640.29/13,614.96
  6. Step 6: Final answer
    x = 10,549.69

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