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Finding the Fourth Proportional to 13,199.82, 19,807.17 and 5,414.10

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Solution

The fourth proportional to 13,199.82, 19,807.17 and 5,414.10 is: 8,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.82 : 19,807.17 = 5,414.10 : x
  2. Step 2: Convert to fraction form
    13,199.82/19,807.17 = 5,414.10/x
  3. Step 3: Cross multiply
    13,199.82x = 19,807.17 × 5,414.10
  4. Step 4: Simplify right side
    13,199.82x = 107,237,999.10
  5. Step 5: Solve for x
    x = 107,237,999.10/13,199.82
  6. Step 6: Final answer
    x = 8,124.20

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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.