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Finding the Fourth Proportional to 12,997.89, 19,504.13 and 5,207.31

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Solution

The fourth proportional to 12,997.89, 19,504.13 and 5,207.31 is: 7,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.89 : 19,504.13 = 5,207.31 : x
  2. Step 2: Convert to fraction form
    12,997.89/19,504.13 = 5,207.31/x
  3. Step 3: Cross multiply
    12,997.89x = 19,504.13 × 5,207.31
  4. Step 4: Simplify right side
    12,997.89x = 101,564,025.15
  5. Step 5: Solve for x
    x = 101,564,025.15/12,997.89
  6. Step 6: Final answer
    x = 7,813.89

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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.