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Finding the Fourth Proportional to 20,682.72, 31,027.32 and 7,534.80

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Solution

The fourth proportional to 20,682.72, 31,027.32 and 7,534.80 is: 11,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.72 : 31,027.32 = 7,534.80 : x
  2. Step 2: Convert to fraction form
    20,682.72/31,027.32 = 7,534.80/x
  3. Step 3: Cross multiply
    20,682.72x = 31,027.32 × 7,534.80
  4. Step 4: Simplify right side
    20,682.72x = 233,784,650.74
  5. Step 5: Solve for x
    x = 233,784,650.74/20,682.72
  6. Step 6: Final answer
    x = 11,303.38

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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.