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Finding the Fourth Proportional to 20,502.98, 30,764.04 and 8,019.77

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Solution

The fourth proportional to 20,502.98, 30,764.04 and 8,019.77 is: 12,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.98 : 30,764.04 = 8,019.77 : x
  2. Step 2: Convert to fraction form
    20,502.98/30,764.04 = 8,019.77/x
  3. Step 3: Cross multiply
    20,502.98x = 30,764.04 × 8,019.77
  4. Step 4: Simplify right side
    20,502.98x = 246,720,525.07
  5. Step 5: Solve for x
    x = 246,720,525.07/20,502.98
  6. Step 6: Final answer
    x = 12,033.40

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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.