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Finding the Fourth Proportional to 13,918.39, 20,876.64 and 6,524.50

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Solution

The fourth proportional to 13,918.39, 20,876.64 and 6,524.50 is: 9,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.39 : 20,876.64 = 6,524.50 : x
  2. Step 2: Convert to fraction form
    13,918.39/20,876.64 = 6,524.50/x
  3. Step 3: Cross multiply
    13,918.39x = 20,876.64 × 6,524.50
  4. Step 4: Simplify right side
    13,918.39x = 136,209,637.68
  5. Step 5: Solve for x
    x = 136,209,637.68/13,918.39
  6. Step 6: Final answer
    x = 9,786.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.