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Finding the Fourth Proportional to 23,797.96, 32,983.63 and 23,355.40

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Solution

The fourth proportional to 23,797.96, 32,983.63 and 23,355.40 is: 32,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.96 : 32,983.63 = 23,355.40 : x
  2. Step 2: Convert to fraction form
    23,797.96/32,983.63 = 23,355.40/x
  3. Step 3: Cross multiply
    23,797.96x = 32,983.63 × 23,355.40
  4. Step 4: Simplify right side
    23,797.96x = 770,345,872.10
  5. Step 5: Solve for x
    x = 770,345,872.10/23,797.96
  6. Step 6: Final answer
    x = 32,370.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.