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Finding the Fourth Proportional to 10,222.80, 15,324.60 and 8,000.40

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Solution

The fourth proportional to 10,222.80, 15,324.60 and 8,000.40 is: 11,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.80 : 15,324.60 = 8,000.40 : x
  2. Step 2: Convert to fraction form
    10,222.80/15,324.60 = 8,000.40/x
  3. Step 3: Cross multiply
    10,222.80x = 15,324.60 × 8,000.40
  4. Step 4: Simplify right side
    10,222.80x = 122,602,929.84
  5. Step 5: Solve for x
    x = 122,602,929.84/10,222.80
  6. Step 6: Final answer
    x = 11,993.09

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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.