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Finding the Fourth Proportional to 14,705.40, 20,293.65 and 7,991.13

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Solution

The fourth proportional to 14,705.40, 20,293.65 and 7,991.13 is: 11,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.40 : 20,293.65 = 7,991.13 : x
  2. Step 2: Convert to fraction form
    14,705.40/20,293.65 = 7,991.13/x
  3. Step 3: Cross multiply
    14,705.40x = 20,293.65 × 7,991.13
  4. Step 4: Simplify right side
    14,705.40x = 162,169,195.32
  5. Step 5: Solve for x
    x = 162,169,195.32/14,705.40
  6. Step 6: Final answer
    x = 11,027.87

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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.