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Finding the Fourth Proportional to 13,655.90, 18,845.25 and 7,689.71

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Solution

The fourth proportional to 13,655.90, 18,845.25 and 7,689.71 is: 10,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.90 : 18,845.25 = 7,689.71 : x
  2. Step 2: Convert to fraction form
    13,655.90/18,845.25 = 7,689.71/x
  3. Step 3: Cross multiply
    13,655.90x = 18,845.25 × 7,689.71
  4. Step 4: Simplify right side
    13,655.90x = 144,914,507.38
  5. Step 5: Solve for x
    x = 144,914,507.38/13,655.90
  6. Step 6: Final answer
    x = 10,611.86

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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.