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Finding the Fourth Proportional to 12,305.16, 18,446.76 and 4,512.16

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Solution

The fourth proportional to 12,305.16, 18,446.76 and 4,512.16 is: 6,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.16 : 18,446.76 = 4,512.16 : x
  2. Step 2: Convert to fraction form
    12,305.16/18,446.76 = 4,512.16/x
  3. Step 3: Cross multiply
    12,305.16x = 18,446.76 × 4,512.16
  4. Step 4: Simplify right side
    12,305.16x = 83,234,732.60
  5. Step 5: Solve for x
    x = 83,234,732.60/12,305.16
  6. Step 6: Final answer
    x = 6,764.21

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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.