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Finding the Fourth Proportional to 22,274.64, 30,741.66 and 12,843

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Solution

The fourth proportional to 22,274.64, 30,741.66 and 12,843 is: 17,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.64 : 30,741.66 = 12,843 : x
  2. Step 2: Convert to fraction form
    22,274.64/30,741.66 = 12,843/x
  3. Step 3: Cross multiply
    22,274.64x = 30,741.66 × 12,843
  4. Step 4: Simplify right side
    22,274.64x = 394,815,139.38
  5. Step 5: Solve for x
    x = 394,815,139.38/22,274.64
  6. Step 6: Final answer
    x = 17,724.87

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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.