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Finding the Fourth Proportional to 16,201.42, 24,305.52 and 6,841.46

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Solution

The fourth proportional to 16,201.42, 24,305.52 and 6,841.46 is: 10,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.42 : 24,305.52 = 6,841.46 : x
  2. Step 2: Convert to fraction form
    16,201.42/24,305.52 = 6,841.46/x
  3. Step 3: Cross multiply
    16,201.42x = 24,305.52 × 6,841.46
  4. Step 4: Simplify right side
    16,201.42x = 166,285,242.86
  5. Step 5: Solve for x
    x = 166,285,242.86/16,201.42
  6. Step 6: Final answer
    x = 10,263.62

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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.