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Finding the Fourth Proportional to 16,175.96, 24,311.82 and 13,420.52

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Solution

The fourth proportional to 16,175.96, 24,311.82 and 13,420.52 is: 20,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.96 : 24,311.82 = 13,420.52 : x
  2. Step 2: Convert to fraction form
    16,175.96/24,311.82 = 13,420.52/x
  3. Step 3: Cross multiply
    16,175.96x = 24,311.82 × 13,420.52
  4. Step 4: Simplify right side
    16,175.96x = 326,277,266.55
  5. Step 5: Solve for x
    x = 326,277,266.55/16,175.96
  6. Step 6: Final answer
    x = 20,170.50

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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.