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Finding the Fourth Proportional to 12,023.19, 18,034.11 and 3,257.46

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Solution

The fourth proportional to 12,023.19, 18,034.11 and 3,257.46 is: 4,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.19 : 18,034.11 = 3,257.46 : x
  2. Step 2: Convert to fraction form
    12,023.19/18,034.11 = 3,257.46/x
  3. Step 3: Cross multiply
    12,023.19x = 18,034.11 × 3,257.46
  4. Step 4: Simplify right side
    12,023.19x = 58,745,391.96
  5. Step 5: Solve for x
    x = 58,745,391.96/12,023.19
  6. Step 6: Final answer
    x = 4,886.01

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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.