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Finding the Fourth Proportional to 16,978.92, 25,469.74 and 6,453.98

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Solution

The fourth proportional to 16,978.92, 25,469.74 and 6,453.98 is: 9,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.92 : 25,469.74 = 6,453.98 : x
  2. Step 2: Convert to fraction form
    16,978.92/25,469.74 = 6,453.98/x
  3. Step 3: Cross multiply
    16,978.92x = 25,469.74 × 6,453.98
  4. Step 4: Simplify right side
    16,978.92x = 164,381,168.80
  5. Step 5: Solve for x
    x = 164,381,168.80/16,978.92
  6. Step 6: Final answer
    x = 9,681.49

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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.