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Finding the Fourth Proportional to 14,757.50, 20,365.62 and 8,471.36

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Solution

The fourth proportional to 14,757.50, 20,365.62 and 8,471.36 is: 11,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.50 : 20,365.62 = 8,471.36 : x
  2. Step 2: Convert to fraction form
    14,757.50/20,365.62 = 8,471.36/x
  3. Step 3: Cross multiply
    14,757.50x = 20,365.62 × 8,471.36
  4. Step 4: Simplify right side
    14,757.50x = 172,524,498.64
  5. Step 5: Solve for x
    x = 172,524,498.64/14,757.50
  6. Step 6: Final answer
    x = 11,690.63

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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.