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Finding the Fourth Proportional to 16,426.92, 24,635.88 and 5,895

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Solution

The fourth proportional to 16,426.92, 24,635.88 and 5,895 is: 8,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.92 : 24,635.88 = 5,895 : x
  2. Step 2: Convert to fraction form
    16,426.92/24,635.88 = 5,895/x
  3. Step 3: Cross multiply
    16,426.92x = 24,635.88 × 5,895
  4. Step 4: Simplify right side
    16,426.92x = 145,228,512.60
  5. Step 5: Solve for x
    x = 145,228,512.60/16,426.92
  6. Step 6: Final answer
    x = 8,840.89

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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.