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Finding the Fourth Proportional to 13,427.59, 20,141.39 and 5,105.68

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Solution

The fourth proportional to 13,427.59, 20,141.39 and 5,105.68 is: 7,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.59 : 20,141.39 = 5,105.68 : x
  2. Step 2: Convert to fraction form
    13,427.59/20,141.39 = 5,105.68/x
  3. Step 3: Cross multiply
    13,427.59x = 20,141.39 × 5,105.68
  4. Step 4: Simplify right side
    13,427.59x = 102,835,466.57
  5. Step 5: Solve for x
    x = 102,835,466.57/13,427.59
  6. Step 6: Final answer
    x = 7,658.52

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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.