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Finding the Fourth Proportional to 23,046.57, 34,573.50 and 8,255.16

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Solution

The fourth proportional to 23,046.57, 34,573.50 and 8,255.16 is: 12,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.57 : 34,573.50 = 8,255.16 : x
  2. Step 2: Convert to fraction form
    23,046.57/34,573.50 = 8,255.16/x
  3. Step 3: Cross multiply
    23,046.57x = 34,573.50 × 8,255.16
  4. Step 4: Simplify right side
    23,046.57x = 285,409,818.28
  5. Step 5: Solve for x
    x = 285,409,818.28/23,046.57
  6. Step 6: Final answer
    x = 12,384.05

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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.