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Finding the Fourth Proportional to 12,305.41, 18,447.17 and 4,512.40

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Solution

The fourth proportional to 12,305.41, 18,447.17 and 4,512.40 is: 6,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.41 : 18,447.17 = 4,512.40 : x
  2. Step 2: Convert to fraction form
    12,305.41/18,447.17 = 4,512.40/x
  3. Step 3: Cross multiply
    12,305.41x = 18,447.17 × 4,512.40
  4. Step 4: Simplify right side
    12,305.41x = 83,241,009.91
  5. Step 5: Solve for x
    x = 83,241,009.91/12,305.41
  6. Step 6: Final answer
    x = 6,764.59

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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.