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Finding the Fourth Proportional to 17,777.36, 26,647.53 and 7,242.86

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Solution

The fourth proportional to 17,777.36, 26,647.53 and 7,242.86 is: 10,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.36 : 26,647.53 = 7,242.86 : x
  2. Step 2: Convert to fraction form
    17,777.36/26,647.53 = 7,242.86/x
  3. Step 3: Cross multiply
    17,777.36x = 26,647.53 × 7,242.86
  4. Step 4: Simplify right side
    17,777.36x = 193,004,329.14
  5. Step 5: Solve for x
    x = 193,004,329.14/17,777.36
  6. Step 6: Final answer
    x = 10,856.75

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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.