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Finding the Fourth Proportional to 20,450.81, 30,673.17 and 13,106.63

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Solution

The fourth proportional to 20,450.81, 30,673.17 and 13,106.63 is: 19,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450.81 : 30,673.17 = 13,106.63 : x
  2. Step 2: Convert to fraction form
    20,450.81/30,673.17 = 13,106.63/x
  3. Step 3: Cross multiply
    20,450.81x = 30,673.17 × 13,106.63
  4. Step 4: Simplify right side
    20,450.81x = 402,021,736.75
  5. Step 5: Solve for x
    x = 402,021,736.75/20,450.81
  6. Step 6: Final answer
    x = 19,657.99

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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.