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Finding the Fourth Proportional to 20,314.06, 30,471.18 and 7,159.30

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Solution

The fourth proportional to 20,314.06, 30,471.18 and 7,159.30 is: 10,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.06 : 30,471.18 = 7,159.30 : x
  2. Step 2: Convert to fraction form
    20,314.06/30,471.18 = 7,159.30/x
  3. Step 3: Cross multiply
    20,314.06x = 30,471.18 × 7,159.30
  4. Step 4: Simplify right side
    20,314.06x = 218,152,318.97
  5. Step 5: Solve for x
    x = 218,152,318.97/20,314.06
  6. Step 6: Final answer
    x = 10,738.98

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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.