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Finding the Fourth Proportional to 14,385.64, 19,847.56 and 8,096.80

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Solution

The fourth proportional to 14,385.64, 19,847.56 and 8,096.80 is: 11,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.64 : 19,847.56 = 8,096.80 : x
  2. Step 2: Convert to fraction form
    14,385.64/19,847.56 = 8,096.80/x
  3. Step 3: Cross multiply
    14,385.64x = 19,847.56 × 8,096.80
  4. Step 4: Simplify right side
    14,385.64x = 160,701,723.81
  5. Step 5: Solve for x
    x = 160,701,723.81/14,385.64
  6. Step 6: Final answer
    x = 11,170.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.