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Finding the Fourth Proportional to 16,202.25, 24,312.83 and 6,841.71

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Solution

The fourth proportional to 16,202.25, 24,312.83 and 6,841.71 is: 10,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.25 : 24,312.83 = 6,841.71 : x
  2. Step 2: Convert to fraction form
    16,202.25/24,312.83 = 6,841.71/x
  3. Step 3: Cross multiply
    16,202.25x = 24,312.83 × 6,841.71
  4. Step 4: Simplify right side
    16,202.25x = 166,341,297.93
  5. Step 5: Solve for x
    x = 166,341,297.93/16,202.25
  6. Step 6: Final answer
    x = 10,266.56

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