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Finding the Fourth Proportional to 13,498.98, 20,150.82 and 11,661.90

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Solution

The fourth proportional to 13,498.98, 20,150.82 and 11,661.90 is: 17,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.98 : 20,150.82 = 11,661.90 : x
  2. Step 2: Convert to fraction form
    13,498.98/20,150.82 = 11,661.90/x
  3. Step 3: Cross multiply
    13,498.98x = 20,150.82 × 11,661.90
  4. Step 4: Simplify right side
    13,498.98x = 234,996,847.76
  5. Step 5: Solve for x
    x = 234,996,847.76/13,498.98
  6. Step 6: Final answer
    x = 17,408.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.