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Finding the Fourth Proportional to 13,243.32, 19,864.92 and 8,316.41

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Solution

The fourth proportional to 13,243.32, 19,864.92 and 8,316.41 is: 12,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.32 : 19,864.92 = 8,316.41 : x
  2. Step 2: Convert to fraction form
    13,243.32/19,864.92 = 8,316.41/x
  3. Step 3: Cross multiply
    13,243.32x = 19,864.92 × 8,316.41
  4. Step 4: Simplify right side
    13,243.32x = 165,204,720.01
  5. Step 5: Solve for x
    x = 165,204,720.01/13,243.32
  6. Step 6: Final answer
    x = 12,474.57

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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.