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Finding the Fourth Proportional to 20,513.96, 30,776.45 and 6,474.53

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Solution

The fourth proportional to 20,513.96, 30,776.45 and 6,474.53 is: 9,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.96 : 30,776.45 = 6,474.53 : x
  2. Step 2: Convert to fraction form
    20,513.96/30,776.45 = 6,474.53/x
  3. Step 3: Cross multiply
    20,513.96x = 30,776.45 × 6,474.53
  4. Step 4: Simplify right side
    20,513.96x = 199,263,048.82
  5. Step 5: Solve for x
    x = 199,263,048.82/20,513.96
  6. Step 6: Final answer
    x = 9,713.53

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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.