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Finding the Fourth Proportional to 20,980.50, 31,475.61 and 7,129.50

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Solution

The fourth proportional to 20,980.50, 31,475.61 and 7,129.50 is: 10,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.50 : 31,475.61 = 7,129.50 : x
  2. Step 2: Convert to fraction form
    20,980.50/31,475.61 = 7,129.50/x
  3. Step 3: Cross multiply
    20,980.50x = 31,475.61 × 7,129.50
  4. Step 4: Simplify right side
    20,980.50x = 224,405,361.50
  5. Step 5: Solve for x
    x = 224,405,361.50/20,980.50
  6. Step 6: Final answer
    x = 10,695.90

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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.