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Finding the Fourth Proportional to 14,197.34, 19,591.18 and 8,229.39

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Solution

The fourth proportional to 14,197.34, 19,591.18 and 8,229.39 is: 11,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.34 : 19,591.18 = 8,229.39 : x
  2. Step 2: Convert to fraction form
    14,197.34/19,591.18 = 8,229.39/x
  3. Step 3: Cross multiply
    14,197.34x = 19,591.18 × 8,229.39
  4. Step 4: Simplify right side
    14,197.34x = 161,223,460.78
  5. Step 5: Solve for x
    x = 161,223,460.78/14,197.34
  6. Step 6: Final answer
    x = 11,355.90

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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.