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Finding the Fourth Proportional to 21,703.14, 32,555.82 and 6,121.98

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Solution

The fourth proportional to 21,703.14, 32,555.82 and 6,121.98 is: 9,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.14 : 32,555.82 = 6,121.98 : x
  2. Step 2: Convert to fraction form
    21,703.14/32,555.82 = 6,121.98/x
  3. Step 3: Cross multiply
    21,703.14x = 32,555.82 × 6,121.98
  4. Step 4: Simplify right side
    21,703.14x = 199,306,078.92
  5. Step 5: Solve for x
    x = 199,306,078.92/21,703.14
  6. Step 6: Final answer
    x = 9,183.28

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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.