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Finding the Fourth Proportional to 18,156.26, 27,224.67 and 7,762.34

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Solution

The fourth proportional to 18,156.26, 27,224.67 and 7,762.34 is: 11,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,156.26 : 27,224.67 = 7,762.34 : x
  2. Step 2: Convert to fraction form
    18,156.26/27,224.67 = 7,762.34/x
  3. Step 3: Cross multiply
    18,156.26x = 27,224.67 × 7,762.34
  4. Step 4: Simplify right side
    18,156.26x = 211,327,144.93
  5. Step 5: Solve for x
    x = 211,327,144.93/18,156.26
  6. Step 6: Final answer
    x = 11,639.35

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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.