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Finding the Fourth Proportional to 23,839.55, 35,759.35 and 8,257.17

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Solution

The fourth proportional to 23,839.55, 35,759.35 and 8,257.17 is: 12,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.55 : 35,759.35 = 8,257.17 : x
  2. Step 2: Convert to fraction form
    23,839.55/35,759.35 = 8,257.17/x
  3. Step 3: Cross multiply
    23,839.55x = 35,759.35 × 8,257.17
  4. Step 4: Simplify right side
    23,839.55x = 295,271,011.40
  5. Step 5: Solve for x
    x = 295,271,011.40/23,839.55
  6. Step 6: Final answer
    x = 12,385.77

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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.