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Finding the Fourth Proportional to 13,790.70, 20,696.49 and 10,102.52

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Solution

The fourth proportional to 13,790.70, 20,696.49 and 10,102.52 is: 15,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.70 : 20,696.49 = 10,102.52 : x
  2. Step 2: Convert to fraction form
    13,790.70/20,696.49 = 10,102.52/x
  3. Step 3: Cross multiply
    13,790.70x = 20,696.49 × 10,102.52
  4. Step 4: Simplify right side
    13,790.70x = 209,086,600.67
  5. Step 5: Solve for x
    x = 209,086,600.67/13,790.70
  6. Step 6: Final answer
    x = 15,161.42

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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.