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Finding the Fourth Proportional to 12,564.67, 18,847.15 and 3,204.67

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Solution

The fourth proportional to 12,564.67, 18,847.15 and 3,204.67 is: 4,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.67 : 18,847.15 = 3,204.67 : x
  2. Step 2: Convert to fraction form
    12,564.67/18,847.15 = 3,204.67/x
  3. Step 3: Cross multiply
    12,564.67x = 18,847.15 × 3,204.67
  4. Step 4: Simplify right side
    12,564.67x = 60,398,929.76
  5. Step 5: Solve for x
    x = 60,398,929.76/12,564.67
  6. Step 6: Final answer
    x = 4,807.04

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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.