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Finding the Fourth Proportional to 20,313.59, 30,471.05 and 6,986.45

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Solution

The fourth proportional to 20,313.59, 30,471.05 and 6,986.45 is: 10,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.59 : 30,471.05 = 6,986.45 : x
  2. Step 2: Convert to fraction form
    20,313.59/30,471.05 = 6,986.45/x
  3. Step 3: Cross multiply
    20,313.59x = 30,471.05 × 6,986.45
  4. Step 4: Simplify right side
    20,313.59x = 212,884,560.92
  5. Step 5: Solve for x
    x = 212,884,560.92/20,313.59
  6. Step 6: Final answer
    x = 10,479.91

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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.