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Finding the Fourth Proportional to 38,309.66, 57,464.50 and 12,016.46

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Solution

The fourth proportional to 38,309.66, 57,464.50 and 12,016.46 is: 18,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.66 : 57,464.50 = 12,016.46 : x
  2. Step 2: Convert to fraction form
    38,309.66/57,464.50 = 12,016.46/x
  3. Step 3: Cross multiply
    38,309.66x = 57,464.50 × 12,016.46
  4. Step 4: Simplify right side
    38,309.66x = 690,519,865.67
  5. Step 5: Solve for x
    x = 690,519,865.67/38,309.66
  6. Step 6: Final answer
    x = 18,024.69

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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.