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Finding the Fourth Proportional to 13,429.68, 20,139.33 and 5,105.31

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Solution

The fourth proportional to 13,429.68, 20,139.33 and 5,105.31 is: 7,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.68 : 20,139.33 = 5,105.31 : x
  2. Step 2: Convert to fraction form
    13,429.68/20,139.33 = 5,105.31/x
  3. Step 3: Cross multiply
    13,429.68x = 20,139.33 × 5,105.31
  4. Step 4: Simplify right side
    13,429.68x = 102,817,522.84
  5. Step 5: Solve for x
    x = 102,817,522.84/13,429.68
  6. Step 6: Final answer
    x = 7,655.99

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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.