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Finding the Fourth Proportional to 13,666.07, 20,452.80 and 8,404.41

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Solution

The fourth proportional to 13,666.07, 20,452.80 and 8,404.41 is: 12,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.07 : 20,452.80 = 8,404.41 : x
  2. Step 2: Convert to fraction form
    13,666.07/20,452.80 = 8,404.41/x
  3. Step 3: Cross multiply
    13,666.07x = 20,452.80 × 8,404.41
  4. Step 4: Simplify right side
    13,666.07x = 171,893,716.85
  5. Step 5: Solve for x
    x = 171,893,716.85/13,666.07
  6. Step 6: Final answer
    x = 12,578.14

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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.