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Finding the Fourth Proportional to 10,220.58, 15,330.87 and 8,384.41

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Solution

The fourth proportional to 10,220.58, 15,330.87 and 8,384.41 is: 12,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.58 : 15,330.87 = 8,384.41 : x
  2. Step 2: Convert to fraction form
    10,220.58/15,330.87 = 8,384.41/x
  3. Step 3: Cross multiply
    10,220.58x = 15,330.87 × 8,384.41
  4. Step 4: Simplify right side
    10,220.58x = 128,540,318.90
  5. Step 5: Solve for x
    x = 128,540,318.90/10,220.58
  6. Step 6: Final answer
    x = 12,576.62

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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.