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Finding the Fourth Proportional to 13,381.78, 20,072.68 and 5,586.34

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Solution

The fourth proportional to 13,381.78, 20,072.68 and 5,586.34 is: 8,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.78 : 20,072.68 = 5,586.34 : x
  2. Step 2: Convert to fraction form
    13,381.78/20,072.68 = 5,586.34/x
  3. Step 3: Cross multiply
    13,381.78x = 20,072.68 × 5,586.34
  4. Step 4: Simplify right side
    13,381.78x = 112,132,815.19
  5. Step 5: Solve for x
    x = 112,132,815.19/13,381.78
  6. Step 6: Final answer
    x = 8,379.51

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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.