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Finding the Fourth Proportional to 23,698.60, 35,523.60 and 13,832.80

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Solution

The fourth proportional to 23,698.60, 35,523.60 and 13,832.80 is: 20,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.60 : 35,523.60 = 13,832.80 : x
  2. Step 2: Convert to fraction form
    23,698.60/35,523.60 = 13,832.80/x
  3. Step 3: Cross multiply
    23,698.60x = 35,523.60 × 13,832.80
  4. Step 4: Simplify right side
    23,698.60x = 491,390,854.08
  5. Step 5: Solve for x
    x = 491,390,854.08/23,698.60
  6. Step 6: Final answer
    x = 20,735.02

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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.