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Finding the Fourth Proportional to 23,061, 34,591.50 and 8,270.82

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Solution

The fourth proportional to 23,061, 34,591.50 and 8,270.82 is: 12,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,061 : 34,591.50 = 8,270.82 : x
  2. Step 2: Convert to fraction form
    23,061/34,591.50 = 8,270.82/x
  3. Step 3: Cross multiply
    23,061x = 34,591.50 × 8,270.82
  4. Step 4: Simplify right side
    23,061x = 286,100,070.03
  5. Step 5: Solve for x
    x = 286,100,070.03/23,061
  6. Step 6: Final answer
    x = 12,406.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.