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Finding the Fourth Proportional to 13,445.74, 20,161.23 and 10,317.94

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Solution

The fourth proportional to 13,445.74, 20,161.23 and 10,317.94 is: 15,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,445.74 : 20,161.23 = 10,317.94 : x
  2. Step 2: Convert to fraction form
    13,445.74/20,161.23 = 10,317.94/x
  3. Step 3: Cross multiply
    13,445.74x = 20,161.23 × 10,317.94
  4. Step 4: Simplify right side
    13,445.74x = 208,022,361.47
  5. Step 5: Solve for x
    x = 208,022,361.47/13,445.74
  6. Step 6: Final answer
    x = 15,471.25

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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.