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Finding the Fourth Proportional to 21,020.96, 31,533.66 and 8,539.11

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Solution

The fourth proportional to 21,020.96, 31,533.66 and 8,539.11 is: 12,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.96 : 31,533.66 = 8,539.11 : x
  2. Step 2: Convert to fraction form
    21,020.96/31,533.66 = 8,539.11/x
  3. Step 3: Cross multiply
    21,020.96x = 31,533.66 × 8,539.11
  4. Step 4: Simplify right side
    21,020.96x = 269,269,391.44
  5. Step 5: Solve for x
    x = 269,269,391.44/21,020.96
  6. Step 6: Final answer
    x = 12,809.57

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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.