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Finding the Fourth Proportional to 27,249.32, 40,865.34 and 8,777

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Solution

The fourth proportional to 27,249.32, 40,865.34 and 8,777 is: 13,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249.32 : 40,865.34 = 8,777 : x
  2. Step 2: Convert to fraction form
    27,249.32/40,865.34 = 8,777/x
  3. Step 3: Cross multiply
    27,249.32x = 40,865.34 × 8,777
  4. Step 4: Simplify right side
    27,249.32x = 358,675,089.18
  5. Step 5: Solve for x
    x = 358,675,089.18/27,249.32
  6. Step 6: Final answer
    x = 13,162.72

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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.