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Finding the Fourth Proportional to 13,395.57, 20,078.77 and 9,002.13

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Solution

The fourth proportional to 13,395.57, 20,078.77 and 9,002.13 is: 13,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.57 : 20,078.77 = 9,002.13 : x
  2. Step 2: Convert to fraction form
    13,395.57/20,078.77 = 9,002.13/x
  3. Step 3: Cross multiply
    13,395.57x = 20,078.77 × 9,002.13
  4. Step 4: Simplify right side
    13,395.57x = 180,751,697.78
  5. Step 5: Solve for x
    x = 180,751,697.78/13,395.57
  6. Step 6: Final answer
    x = 13,493.39

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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.