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Finding the Fourth Proportional to 23,453.62, 35,170.98 and 8,456.47

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Solution

The fourth proportional to 23,453.62, 35,170.98 and 8,456.47 is: 12,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.62 : 35,170.98 = 8,456.47 : x
  2. Step 2: Convert to fraction form
    23,453.62/35,170.98 = 8,456.47/x
  3. Step 3: Cross multiply
    23,453.62x = 35,170.98 × 8,456.47
  4. Step 4: Simplify right side
    23,453.62x = 297,422,337.24
  5. Step 5: Solve for x
    x = 297,422,337.24/23,453.62
  6. Step 6: Final answer
    x = 12,681.30

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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.