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Finding the Fourth Proportional to 23,801.64, 35,690.22 and 13,960.20

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Solution

The fourth proportional to 23,801.64, 35,690.22 and 13,960.20 is: 20,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.64 : 35,690.22 = 13,960.20 : x
  2. Step 2: Convert to fraction form
    23,801.64/35,690.22 = 13,960.20/x
  3. Step 3: Cross multiply
    23,801.64x = 35,690.22 × 13,960.20
  4. Step 4: Simplify right side
    23,801.64x = 498,242,609.24
  5. Step 5: Solve for x
    x = 498,242,609.24/23,801.64
  6. Step 6: Final answer
    x = 20,933.12

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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.