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Finding the Fourth Proportional to 11,181.66, 16,756.77 and 8,831.34

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Solution

The fourth proportional to 11,181.66, 16,756.77 and 8,831.34 is: 13,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.66 : 16,756.77 = 8,831.34 : x
  2. Step 2: Convert to fraction form
    11,181.66/16,756.77 = 8,831.34/x
  3. Step 3: Cross multiply
    11,181.66x = 16,756.77 × 8,831.34
  4. Step 4: Simplify right side
    11,181.66x = 147,984,733.17
  5. Step 5: Solve for x
    x = 147,984,733.17/11,181.66
  6. Step 6: Final answer
    x = 13,234.59

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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.