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Finding the Fourth Proportional to 13,188.90, 18,209.18 and 11,770.16

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Solution

The fourth proportional to 13,188.90, 18,209.18 and 11,770.16 is: 16,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.90 : 18,209.18 = 11,770.16 : x
  2. Step 2: Convert to fraction form
    13,188.90/18,209.18 = 11,770.16/x
  3. Step 3: Cross multiply
    13,188.90x = 18,209.18 × 11,770.16
  4. Step 4: Simplify right side
    13,188.90x = 214,324,812.17
  5. Step 5: Solve for x
    x = 214,324,812.17/13,188.90
  6. Step 6: Final answer
    x = 16,250.39

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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.