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Finding the Fourth Proportional to 20,576.84, 30,877.86 and 8,889.80

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Solution

The fourth proportional to 20,576.84, 30,877.86 and 8,889.80 is: 13,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.84 : 30,877.86 = 8,889.80 : x
  2. Step 2: Convert to fraction form
    20,576.84/30,877.86 = 8,889.80/x
  3. Step 3: Cross multiply
    20,576.84x = 30,877.86 × 8,889.80
  4. Step 4: Simplify right side
    20,576.84x = 274,497,999.83
  5. Step 5: Solve for x
    x = 274,497,999.83/20,576.84
  6. Step 6: Final answer
    x = 13,340.14

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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.