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Finding the Fourth Proportional to 13,421.11, 20,131.68 and 5,099.17

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Solution

The fourth proportional to 13,421.11, 20,131.68 and 5,099.17 is: 7,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.11 : 20,131.68 = 5,099.17 : x
  2. Step 2: Convert to fraction form
    13,421.11/20,131.68 = 5,099.17/x
  3. Step 3: Cross multiply
    13,421.11x = 20,131.68 × 5,099.17
  4. Step 4: Simplify right side
    13,421.11x = 102,654,858.71
  5. Step 5: Solve for x
    x = 102,654,858.71/13,421.11
  6. Step 6: Final answer
    x = 7,648.76

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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.