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Finding the Fourth Proportional to 18,114.86, 27,172.16 and 5,634.88

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Solution

The fourth proportional to 18,114.86, 27,172.16 and 5,634.88 is: 8,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.86 : 27,172.16 = 5,634.88 : x
  2. Step 2: Convert to fraction form
    18,114.86/27,172.16 = 5,634.88/x
  3. Step 3: Cross multiply
    18,114.86x = 27,172.16 × 5,634.88
  4. Step 4: Simplify right side
    18,114.86x = 153,111,938.81
  5. Step 5: Solve for x
    x = 153,111,938.81/18,114.86
  6. Step 6: Final answer
    x = 8,452.29

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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.