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Finding the Fourth Proportional to 13,705.63, 18,914.12 and 8,403.37

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Solution

The fourth proportional to 13,705.63, 18,914.12 and 8,403.37 is: 11,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.63 : 18,914.12 = 8,403.37 : x
  2. Step 2: Convert to fraction form
    13,705.63/18,914.12 = 8,403.37/x
  3. Step 3: Cross multiply
    13,705.63x = 18,914.12 × 8,403.37
  4. Step 4: Simplify right side
    13,705.63x = 158,942,348.58
  5. Step 5: Solve for x
    x = 158,942,348.58/13,705.63
  6. Step 6: Final answer
    x = 11,596.87

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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.