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Finding the Fourth Proportional to 22,266.09, 30,727.71 and 12,195

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Solution

The fourth proportional to 22,266.09, 30,727.71 and 12,195 is: 16,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.09 : 30,727.71 = 12,195 : x
  2. Step 2: Convert to fraction form
    22,266.09/30,727.71 = 12,195/x
  3. Step 3: Cross multiply
    22,266.09x = 30,727.71 × 12,195
  4. Step 4: Simplify right side
    22,266.09x = 374,724,423.45
  5. Step 5: Solve for x
    x = 374,724,423.45/22,266.09
  6. Step 6: Final answer
    x = 16,829.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.