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Finding the Fourth Proportional to 13,998.69, 20,999.25 and 5,116.46

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Solution

The fourth proportional to 13,998.69, 20,999.25 and 5,116.46 is: 7,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.69 : 20,999.25 = 5,116.46 : x
  2. Step 2: Convert to fraction form
    13,998.69/20,999.25 = 5,116.46/x
  3. Step 3: Cross multiply
    13,998.69x = 20,999.25 × 5,116.46
  4. Step 4: Simplify right side
    13,998.69x = 107,441,717.66
  5. Step 5: Solve for x
    x = 107,441,717.66/13,998.69
  6. Step 6: Final answer
    x = 7,675.13

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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.