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Finding the Fourth Proportional to 22,251.94, 30,715.45 and 13,760.57

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Solution

The fourth proportional to 22,251.94, 30,715.45 and 13,760.57 is: 18,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.94 : 30,715.45 = 13,760.57 : x
  2. Step 2: Convert to fraction form
    22,251.94/30,715.45 = 13,760.57/x
  3. Step 3: Cross multiply
    22,251.94x = 30,715.45 × 13,760.57
  4. Step 4: Simplify right side
    22,251.94x = 422,662,099.81
  5. Step 5: Solve for x
    x = 422,662,099.81/22,251.94
  6. Step 6: Final answer
    x = 18,994.39

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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.