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Finding the Fourth Proportional to 16,078.96, 24,116.52 and 6,847.60

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Solution

The fourth proportional to 16,078.96, 24,116.52 and 6,847.60 is: 10,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.96 : 24,116.52 = 6,847.60 : x
  2. Step 2: Convert to fraction form
    16,078.96/24,116.52 = 6,847.60/x
  3. Step 3: Cross multiply
    16,078.96x = 24,116.52 × 6,847.60
  4. Step 4: Simplify right side
    16,078.96x = 165,140,282.35
  5. Step 5: Solve for x
    x = 165,140,282.35/16,078.96
  6. Step 6: Final answer
    x = 10,270.58

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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.