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Finding the Fourth Proportional to 13,657.64, 18,847.33 and 7,689.29

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Solution

The fourth proportional to 13,657.64, 18,847.33 and 7,689.29 is: 10,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.64 : 18,847.33 = 7,689.29 : x
  2. Step 2: Convert to fraction form
    13,657.64/18,847.33 = 7,689.29/x
  3. Step 3: Cross multiply
    13,657.64x = 18,847.33 × 7,689.29
  4. Step 4: Simplify right side
    13,657.64x = 144,922,472.64
  5. Step 5: Solve for x
    x = 144,922,472.64/13,657.64
  6. Step 6: Final answer
    x = 10,611.10

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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.