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Finding the Fourth Proportional to 20,755.36, 31,130.74 and 7,427.82

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Solution

The fourth proportional to 20,755.36, 31,130.74 and 7,427.82 is: 11,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.36 : 31,130.74 = 7,427.82 : x
  2. Step 2: Convert to fraction form
    20,755.36/31,130.74 = 7,427.82/x
  3. Step 3: Cross multiply
    20,755.36x = 31,130.74 × 7,427.82
  4. Step 4: Simplify right side
    20,755.36x = 231,233,442.32
  5. Step 5: Solve for x
    x = 231,233,442.32/20,755.36
  6. Step 6: Final answer
    x = 11,140.90

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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.