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Finding the Fourth Proportional to 12,447.90, 18,675.32 and 5,428.54

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Solution

The fourth proportional to 12,447.90, 18,675.32 and 5,428.54 is: 8,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.90 : 18,675.32 = 5,428.54 : x
  2. Step 2: Convert to fraction form
    12,447.90/18,675.32 = 5,428.54/x
  3. Step 3: Cross multiply
    12,447.90x = 18,675.32 × 5,428.54
  4. Step 4: Simplify right side
    12,447.90x = 101,379,721.63
  5. Step 5: Solve for x
    x = 101,379,721.63/12,447.90
  6. Step 6: Final answer
    x = 8,144.32

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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.