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Finding the Fourth Proportional to 23,878.32, 35,815.04 and 6,349.92

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Solution

The fourth proportional to 23,878.32, 35,815.04 and 6,349.92 is: 9,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.32 : 35,815.04 = 6,349.92 : x
  2. Step 2: Convert to fraction form
    23,878.32/35,815.04 = 6,349.92/x
  3. Step 3: Cross multiply
    23,878.32x = 35,815.04 × 6,349.92
  4. Step 4: Simplify right side
    23,878.32x = 227,422,638.80
  5. Step 5: Solve for x
    x = 227,422,638.80/23,878.32
  6. Step 6: Final answer
    x = 9,524.23

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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.