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Finding the Fourth Proportional to 23,543.28, 35,314.92 and 7,960.50

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Solution

The fourth proportional to 23,543.28, 35,314.92 and 7,960.50 is: 11,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.28 : 35,314.92 = 7,960.50 : x
  2. Step 2: Convert to fraction form
    23,543.28/35,314.92 = 7,960.50/x
  3. Step 3: Cross multiply
    23,543.28x = 35,314.92 × 7,960.50
  4. Step 4: Simplify right side
    23,543.28x = 281,124,420.66
  5. Step 5: Solve for x
    x = 281,124,420.66/23,543.28
  6. Step 6: Final answer
    x = 11,940.75

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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.