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Finding the Fourth Proportional to 14,550.84, 21,831.93 and 5,786.64

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Solution

The fourth proportional to 14,550.84, 21,831.93 and 5,786.64 is: 8,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.84 : 21,831.93 = 5,786.64 : x
  2. Step 2: Convert to fraction form
    14,550.84/21,831.93 = 5,786.64/x
  3. Step 3: Cross multiply
    14,550.84x = 21,831.93 × 5,786.64
  4. Step 4: Simplify right side
    14,550.84x = 126,333,519.42
  5. Step 5: Solve for x
    x = 126,333,519.42/14,550.84
  6. Step 6: Final answer
    x = 8,682.21

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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.