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Finding the Fourth Proportional to 13,696.37, 20,502.63 and 8,770.76

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Solution

The fourth proportional to 13,696.37, 20,502.63 and 8,770.76 is: 13,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.37 : 20,502.63 = 8,770.76 : x
  2. Step 2: Convert to fraction form
    13,696.37/20,502.63 = 8,770.76/x
  3. Step 3: Cross multiply
    13,696.37x = 20,502.63 × 8,770.76
  4. Step 4: Simplify right side
    13,696.37x = 179,823,544.59
  5. Step 5: Solve for x
    x = 179,823,544.59/13,696.37
  6. Step 6: Final answer
    x = 13,129.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.