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Finding the Fourth Proportional to 13,657.29, 18,847.41 and 7,689.17

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Solution

The fourth proportional to 13,657.29, 18,847.41 and 7,689.17 is: 10,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.29 : 18,847.41 = 7,689.17 : x
  2. Step 2: Convert to fraction form
    13,657.29/18,847.41 = 7,689.17/x
  3. Step 3: Cross multiply
    13,657.29x = 18,847.41 × 7,689.17
  4. Step 4: Simplify right side
    13,657.29x = 144,920,845.31
  5. Step 5: Solve for x
    x = 144,920,845.31/13,657.29
  6. Step 6: Final answer
    x = 10,611.24

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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.