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Finding the Fourth Proportional to 12,877.44, 19,317.12 and 3,644.16

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Solution

The fourth proportional to 12,877.44, 19,317.12 and 3,644.16 is: 5,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.44 : 19,317.12 = 3,644.16 : x
  2. Step 2: Convert to fraction form
    12,877.44/19,317.12 = 3,644.16/x
  3. Step 3: Cross multiply
    12,877.44x = 19,317.12 × 3,644.16
  4. Step 4: Simplify right side
    12,877.44x = 70,394,676.02
  5. Step 5: Solve for x
    x = 70,394,676.02/12,877.44
  6. Step 6: Final answer
    x = 5,466.51

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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.