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Finding the Fourth Proportional to 20,757.45, 31,130 and 7,606.70

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Solution

The fourth proportional to 20,757.45, 31,130 and 7,606.70 is: 11,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.45 : 31,130 = 7,606.70 : x
  2. Step 2: Convert to fraction form
    20,757.45/31,130 = 7,606.70/x
  3. Step 3: Cross multiply
    20,757.45x = 31,130 × 7,606.70
  4. Step 4: Simplify right side
    20,757.45x = 236,796,571
  5. Step 5: Solve for x
    x = 236,796,571/20,757.45
  6. Step 6: Final answer
    x = 11,407.79

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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.