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Finding the Fourth Proportional to 23,827.32, 35,744.94 and 8,241.30

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Solution

The fourth proportional to 23,827.32, 35,744.94 and 8,241.30 is: 12,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.32 : 35,744.94 = 8,241.30 : x
  2. Step 2: Convert to fraction form
    23,827.32/35,744.94 = 8,241.30/x
  3. Step 3: Cross multiply
    23,827.32x = 35,744.94 × 8,241.30
  4. Step 4: Simplify right side
    23,827.32x = 294,584,774.02
  5. Step 5: Solve for x
    x = 294,584,774.02/23,827.32
  6. Step 6: Final answer
    x = 12,363.32

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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.