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Finding the Fourth Proportional to 23,507.50, 35,257.46 and 6,863.62

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Solution

The fourth proportional to 23,507.50, 35,257.46 and 6,863.62 is: 10,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.50 : 35,257.46 = 6,863.62 : x
  2. Step 2: Convert to fraction form
    23,507.50/35,257.46 = 6,863.62/x
  3. Step 3: Cross multiply
    23,507.50x = 35,257.46 × 6,863.62
  4. Step 4: Simplify right side
    23,507.50x = 241,993,807.61
  5. Step 5: Solve for x
    x = 241,993,807.61/23,507.50
  6. Step 6: Final answer
    x = 10,294.32

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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.