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Finding the Fourth Proportional to 11,831.84, 16,222.06 and 11,621.12

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Solution

The fourth proportional to 11,831.84, 16,222.06 and 11,621.12 is: 15,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.84 : 16,222.06 = 11,621.12 : x
  2. Step 2: Convert to fraction form
    11,831.84/16,222.06 = 11,621.12/x
  3. Step 3: Cross multiply
    11,831.84x = 16,222.06 × 11,621.12
  4. Step 4: Simplify right side
    11,831.84x = 188,518,505.91
  5. Step 5: Solve for x
    x = 188,518,505.91/11,831.84
  6. Step 6: Final answer
    x = 15,933.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.