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Finding the Fourth Proportional to 13,734.39, 18,953.61 and 8,069.38

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Solution

The fourth proportional to 13,734.39, 18,953.61 and 8,069.38 is: 11,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.39 : 18,953.61 = 8,069.38 : x
  2. Step 2: Convert to fraction form
    13,734.39/18,953.61 = 8,069.38/x
  3. Step 3: Cross multiply
    13,734.39x = 18,953.61 × 8,069.38
  4. Step 4: Simplify right side
    13,734.39x = 152,943,881.46
  5. Step 5: Solve for x
    x = 152,943,881.46/13,734.39
  6. Step 6: Final answer
    x = 11,135.83

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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.