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Finding the Fourth Proportional to 12,564.24, 18,850.02 and 3,800.46

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Solution

The fourth proportional to 12,564.24, 18,850.02 and 3,800.46 is: 5,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.24 : 18,850.02 = 3,800.46 : x
  2. Step 2: Convert to fraction form
    12,564.24/18,850.02 = 3,800.46/x
  3. Step 3: Cross multiply
    12,564.24x = 18,850.02 × 3,800.46
  4. Step 4: Simplify right side
    12,564.24x = 71,638,747.01
  5. Step 5: Solve for x
    x = 71,638,747.01/12,564.24
  6. Step 6: Final answer
    x = 5,701.80

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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.