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Finding the Fourth Proportional to 13,656.39, 18,847.62 and 7,689.23

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Solution

The fourth proportional to 13,656.39, 18,847.62 and 7,689.23 is: 10,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.39 : 18,847.62 = 7,689.23 : x
  2. Step 2: Convert to fraction form
    13,656.39/18,847.62 = 7,689.23/x
  3. Step 3: Cross multiply
    13,656.39x = 18,847.62 × 7,689.23
  4. Step 4: Simplify right side
    13,656.39x = 144,923,685.13
  5. Step 5: Solve for x
    x = 144,923,685.13/13,656.39
  6. Step 6: Final answer
    x = 10,612.15

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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.