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Finding the Fourth Proportional to 16,106.32, 24,155.94 and 8,200.44

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Solution

The fourth proportional to 16,106.32, 24,155.94 and 8,200.44 is: 12,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.32 : 24,155.94 = 8,200.44 : x
  2. Step 2: Convert to fraction form
    16,106.32/24,155.94 = 8,200.44/x
  3. Step 3: Cross multiply
    16,106.32x = 24,155.94 × 8,200.44
  4. Step 4: Simplify right side
    16,106.32x = 198,089,336.61
  5. Step 5: Solve for x
    x = 198,089,336.61/16,106.32
  6. Step 6: Final answer
    x = 12,298.86

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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.