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Finding the Fourth Proportional to 14,771.60, 20,385.32 and 8,057.60

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Solution

The fourth proportional to 14,771.60, 20,385.32 and 8,057.60 is: 11,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.60 : 20,385.32 = 8,057.60 : x
  2. Step 2: Convert to fraction form
    14,771.60/20,385.32 = 8,057.60/x
  3. Step 3: Cross multiply
    14,771.60x = 20,385.32 × 8,057.60
  4. Step 4: Simplify right side
    14,771.60x = 164,256,612.22
  5. Step 5: Solve for x
    x = 164,256,612.22/14,771.60
  6. Step 6: Final answer
    x = 11,119.76

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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.