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Finding the Fourth Proportional to 16,200.39, 24,295.93 and 6,842.53

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Solution

The fourth proportional to 16,200.39, 24,295.93 and 6,842.53 is: 10,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.39 : 24,295.93 = 6,842.53 : x
  2. Step 2: Convert to fraction form
    16,200.39/24,295.93 = 6,842.53/x
  3. Step 3: Cross multiply
    16,200.39x = 24,295.93 × 6,842.53
  4. Step 4: Simplify right side
    16,200.39x = 166,245,629.90
  5. Step 5: Solve for x
    x = 166,245,629.90/16,200.39
  6. Step 6: Final answer
    x = 10,261.83

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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.