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Finding the Fourth Proportional to 23,873.14, 35,806.98 and 6,344.32

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Solution

The fourth proportional to 23,873.14, 35,806.98 and 6,344.32 is: 9,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.14 : 35,806.98 = 6,344.32 : x
  2. Step 2: Convert to fraction form
    23,873.14/35,806.98 = 6,344.32/x
  3. Step 3: Cross multiply
    23,873.14x = 35,806.98 × 6,344.32
  4. Step 4: Simplify right side
    23,873.14x = 227,170,939.35
  5. Step 5: Solve for x
    x = 227,170,939.35/23,873.14
  6. Step 6: Final answer
    x = 9,515.75

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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.