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Finding the Fourth Proportional to 13,758.40, 18,976.96 and 8,655.40

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Solution

The fourth proportional to 13,758.40, 18,976.96 and 8,655.40 is: 11,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.40 : 18,976.96 = 8,655.40 : x
  2. Step 2: Convert to fraction form
    13,758.40/18,976.96 = 8,655.40/x
  3. Step 3: Cross multiply
    13,758.40x = 18,976.96 × 8,655.40
  4. Step 4: Simplify right side
    13,758.40x = 164,253,179.58
  5. Step 5: Solve for x
    x = 164,253,179.58/13,758.40
  6. Step 6: Final answer
    x = 11,938.39

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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.