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Finding the Fourth Proportional to 16,204.35, 24,305.71 and 6,345.44

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Solution

The fourth proportional to 16,204.35, 24,305.71 and 6,345.44 is: 9,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.35 : 24,305.71 = 6,345.44 : x
  2. Step 2: Convert to fraction form
    16,204.35/24,305.71 = 6,345.44/x
  3. Step 3: Cross multiply
    16,204.35x = 24,305.71 × 6,345.44
  4. Step 4: Simplify right side
    16,204.35x = 154,230,424.46
  5. Step 5: Solve for x
    x = 154,230,424.46/16,204.35
  6. Step 6: Final answer
    x = 9,517.84

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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.