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Finding the Fourth Proportional to 12,448.84, 18,676.22 and 3,564.30

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Solution

The fourth proportional to 12,448.84, 18,676.22 and 3,564.30 is: 5,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.84 : 18,676.22 = 3,564.30 : x
  2. Step 2: Convert to fraction form
    12,448.84/18,676.22 = 3,564.30/x
  3. Step 3: Cross multiply
    12,448.84x = 18,676.22 × 3,564.30
  4. Step 4: Simplify right side
    12,448.84x = 66,567,650.95
  5. Step 5: Solve for x
    x = 66,567,650.95/12,448.84
  6. Step 6: Final answer
    x = 5,347.30

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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.