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Finding the Fourth Proportional to 14,705.57, 20,293.62 and 7,991.07

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Solution

The fourth proportional to 14,705.57, 20,293.62 and 7,991.07 is: 11,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.57 : 20,293.62 = 7,991.07 : x
  2. Step 2: Convert to fraction form
    14,705.57/20,293.62 = 7,991.07/x
  3. Step 3: Cross multiply
    14,705.57x = 20,293.62 × 7,991.07
  4. Step 4: Simplify right side
    14,705.57x = 162,167,737.97
  5. Step 5: Solve for x
    x = 162,167,737.97/14,705.57
  6. Step 6: Final answer
    x = 11,027.64

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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.