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Finding the Fourth Proportional to 12,306.13, 18,443.09 and 10,742.12

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Solution

The fourth proportional to 12,306.13, 18,443.09 and 10,742.12 is: 16,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.13 : 18,443.09 = 10,742.12 : x
  2. Step 2: Convert to fraction form
    12,306.13/18,443.09 = 10,742.12/x
  3. Step 3: Cross multiply
    12,306.13x = 18,443.09 × 10,742.12
  4. Step 4: Simplify right side
    12,306.13x = 198,117,889.75
  5. Step 5: Solve for x
    x = 198,117,889.75/12,306.13
  6. Step 6: Final answer
    x = 16,099.13

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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.