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Finding the Fourth Proportional to 20,790.78, 31,185.19 and 7,642.18

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Solution

The fourth proportional to 20,790.78, 31,185.19 and 7,642.18 is: 11,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790.78 : 31,185.19 = 7,642.18 : x
  2. Step 2: Convert to fraction form
    20,790.78/31,185.19 = 7,642.18/x
  3. Step 3: Cross multiply
    20,790.78x = 31,185.19 × 7,642.18
  4. Step 4: Simplify right side
    20,790.78x = 238,322,835.31
  5. Step 5: Solve for x
    x = 238,322,835.31/20,790.78
  6. Step 6: Final answer
    x = 11,462.91

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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.