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Finding the Fourth Proportional to 22,412.59, 33,623.93 and 6,831.79

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Solution

The fourth proportional to 22,412.59, 33,623.93 and 6,831.79 is: 10,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.59 : 33,623.93 = 6,831.79 : x
  2. Step 2: Convert to fraction form
    22,412.59/33,623.93 = 6,831.79/x
  3. Step 3: Cross multiply
    22,412.59x = 33,623.93 × 6,831.79
  4. Step 4: Simplify right side
    22,412.59x = 229,711,628.73
  5. Step 5: Solve for x
    x = 229,711,628.73/22,412.59
  6. Step 6: Final answer
    x = 10,249.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.