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Finding the Fourth Proportional to 21,198.63, 31,803.48 and 6,407.94

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Solution

The fourth proportional to 21,198.63, 31,803.48 and 6,407.94 is: 9,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.63 : 31,803.48 = 6,407.94 : x
  2. Step 2: Convert to fraction form
    21,198.63/31,803.48 = 6,407.94/x
  3. Step 3: Cross multiply
    21,198.63x = 31,803.48 × 6,407.94
  4. Step 4: Simplify right side
    21,198.63x = 203,794,791.63
  5. Step 5: Solve for x
    x = 203,794,791.63/21,198.63
  6. Step 6: Final answer
    x = 9,613.58

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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.