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Finding the Fourth Proportional to 23,813.69, 35,717.78 and 6,284.88

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Solution

The fourth proportional to 23,813.69, 35,717.78 and 6,284.88 is: 9,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.69 : 35,717.78 = 6,284.88 : x
  2. Step 2: Convert to fraction form
    23,813.69/35,717.78 = 6,284.88/x
  3. Step 3: Cross multiply
    23,813.69x = 35,717.78 × 6,284.88
  4. Step 4: Simplify right side
    23,813.69x = 224,481,976.88
  5. Step 5: Solve for x
    x = 224,481,976.88/23,813.69
  6. Step 6: Final answer
    x = 9,426.60

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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.