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Finding the Fourth Proportional to 14,705.96, 20,294.21 and 7,991.57

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Solution

The fourth proportional to 14,705.96, 20,294.21 and 7,991.57 is: 11,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.96 : 20,294.21 = 7,991.57 : x
  2. Step 2: Convert to fraction form
    14,705.96/20,294.21 = 7,991.57/x
  3. Step 3: Cross multiply
    14,705.96x = 20,294.21 × 7,991.57
  4. Step 4: Simplify right side
    14,705.96x = 162,182,665.35
  5. Step 5: Solve for x
    x = 162,182,665.35/14,705.96
  6. Step 6: Final answer
    x = 11,028.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.