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Finding the Fourth Proportional to 13,209.60, 18,231.84 and 9,023.52

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Solution

The fourth proportional to 13,209.60, 18,231.84 and 9,023.52 is: 12,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.60 : 18,231.84 = 9,023.52 : x
  2. Step 2: Convert to fraction form
    13,209.60/18,231.84 = 9,023.52/x
  3. Step 3: Cross multiply
    13,209.60x = 18,231.84 × 9,023.52
  4. Step 4: Simplify right side
    13,209.60x = 164,515,372.88
  5. Step 5: Solve for x
    x = 164,515,372.88/13,209.60
  6. Step 6: Final answer
    x = 12,454.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.