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Finding the Fourth Proportional to 23,633.64, 35,452.44 and 6,103.80

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Solution

The fourth proportional to 23,633.64, 35,452.44 and 6,103.80 is: 9,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.64 : 35,452.44 = 6,103.80 : x
  2. Step 2: Convert to fraction form
    23,633.64/35,452.44 = 6,103.80/x
  3. Step 3: Cross multiply
    23,633.64x = 35,452.44 × 6,103.80
  4. Step 4: Simplify right side
    23,633.64x = 216,394,603.27
  5. Step 5: Solve for x
    x = 216,394,603.27/23,633.64
  6. Step 6: Final answer
    x = 9,156.21

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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.