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Finding the Fourth Proportional to 13,229.94, 19,842.03 and 6,649.14

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Solution

The fourth proportional to 13,229.94, 19,842.03 and 6,649.14 is: 9,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.94 : 19,842.03 = 6,649.14 : x
  2. Step 2: Convert to fraction form
    13,229.94/19,842.03 = 6,649.14/x
  3. Step 3: Cross multiply
    13,229.94x = 19,842.03 × 6,649.14
  4. Step 4: Simplify right side
    13,229.94x = 131,932,509.89
  5. Step 5: Solve for x
    x = 131,932,509.89/13,229.94
  6. Step 6: Final answer
    x = 9,972.27

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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.