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Finding the Fourth Proportional to 13,207.32, 19,814.22 and 3,847.41

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Solution

The fourth proportional to 13,207.32, 19,814.22 and 3,847.41 is: 5,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.32 : 19,814.22 = 3,847.41 : x
  2. Step 2: Convert to fraction form
    13,207.32/19,814.22 = 3,847.41/x
  3. Step 3: Cross multiply
    13,207.32x = 19,814.22 × 3,847.41
  4. Step 4: Simplify right side
    13,207.32x = 76,233,428.17
  5. Step 5: Solve for x
    x = 76,233,428.17/13,207.32
  6. Step 6: Final answer
    x = 5,772.06

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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.