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Finding the Fourth Proportional to 23,771.46, 32,802.80 and 13,161.26

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Solution

The fourth proportional to 23,771.46, 32,802.80 and 13,161.26 is: 18,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.46 : 32,802.80 = 13,161.26 : x
  2. Step 2: Convert to fraction form
    23,771.46/32,802.80 = 13,161.26/x
  3. Step 3: Cross multiply
    23,771.46x = 32,802.80 × 13,161.26
  4. Step 4: Simplify right side
    23,771.46x = 431,726,179.53
  5. Step 5: Solve for x
    x = 431,726,179.53/23,771.46
  6. Step 6: Final answer
    x = 18,161.53

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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.