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Finding the Fourth Proportional to 14,771.64, 20,385.03 and 8,057.22

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Solution

The fourth proportional to 14,771.64, 20,385.03 and 8,057.22 is: 11,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.64 : 20,385.03 = 8,057.22 : x
  2. Step 2: Convert to fraction form
    14,771.64/20,385.03 = 8,057.22/x
  3. Step 3: Cross multiply
    14,771.64x = 20,385.03 × 8,057.22
  4. Step 4: Simplify right side
    14,771.64x = 164,246,671.42
  5. Step 5: Solve for x
    x = 164,246,671.42/14,771.64
  6. Step 6: Final answer
    x = 11,119.05

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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.