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Finding the Fourth Proportional to 22,076.71, 33,105.85 and 8,919.86

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Solution

The fourth proportional to 22,076.71, 33,105.85 and 8,919.86 is: 13,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.71 : 33,105.85 = 8,919.86 : x
  2. Step 2: Convert to fraction form
    22,076.71/33,105.85 = 8,919.86/x
  3. Step 3: Cross multiply
    22,076.71x = 33,105.85 × 8,919.86
  4. Step 4: Simplify right side
    22,076.71x = 295,299,547.18
  5. Step 5: Solve for x
    x = 295,299,547.18/22,076.71
  6. Step 6: Final answer
    x = 13,376.07

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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.