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Finding the Fourth Proportional to 14,633.60, 20,194.31 and 8,260.18

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Solution

The fourth proportional to 14,633.60, 20,194.31 and 8,260.18 is: 11,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.60 : 20,194.31 = 8,260.18 : x
  2. Step 2: Convert to fraction form
    14,633.60/20,194.31 = 8,260.18/x
  3. Step 3: Cross multiply
    14,633.60x = 20,194.31 × 8,260.18
  4. Step 4: Simplify right side
    14,633.60x = 166,808,605.74
  5. Step 5: Solve for x
    x = 166,808,605.74/14,633.60
  6. Step 6: Final answer
    x = 11,399.02

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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.