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Finding the Fourth Proportional to 12,334.19, 18,497.09 and 4,012.14

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Solution

The fourth proportional to 12,334.19, 18,497.09 and 4,012.14 is: 6,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.19 : 18,497.09 = 4,012.14 : x
  2. Step 2: Convert to fraction form
    12,334.19/18,497.09 = 4,012.14/x
  3. Step 3: Cross multiply
    12,334.19x = 18,497.09 × 4,012.14
  4. Step 4: Simplify right side
    12,334.19x = 74,212,840.29
  5. Step 5: Solve for x
    x = 74,212,840.29/12,334.19
  6. Step 6: Final answer
    x = 6,016.84

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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.