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Finding the Fourth Proportional to 13,381.34, 20,046.08 and 10,296.86

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Solution

The fourth proportional to 13,381.34, 20,046.08 and 10,296.86 is: 15,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.34 : 20,046.08 = 10,296.86 : x
  2. Step 2: Convert to fraction form
    13,381.34/20,046.08 = 10,296.86/x
  3. Step 3: Cross multiply
    13,381.34x = 20,046.08 × 10,296.86
  4. Step 4: Simplify right side
    13,381.34x = 206,411,604.82
  5. Step 5: Solve for x
    x = 206,411,604.82/13,381.34
  6. Step 6: Final answer
    x = 15,425.34

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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.