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Finding the Fourth Proportional to 21,198.22, 31,798.47 and 6,406.76

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Solution

The fourth proportional to 21,198.22, 31,798.47 and 6,406.76 is: 9,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.22 : 31,798.47 = 6,406.76 : x
  2. Step 2: Convert to fraction form
    21,198.22/31,798.47 = 6,406.76/x
  3. Step 3: Cross multiply
    21,198.22x = 31,798.47 × 6,406.76
  4. Step 4: Simplify right side
    21,198.22x = 203,725,269.18
  5. Step 5: Solve for x
    x = 203,725,269.18/21,198.22
  6. Step 6: Final answer
    x = 9,610.49

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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.