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Finding the Fourth Proportional to 25,274.21, 34,894.62 and 22,617

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Solution

The fourth proportional to 25,274.21, 34,894.62 and 22,617 is: 31,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.21 : 34,894.62 = 22,617 : x
  2. Step 2: Convert to fraction form
    25,274.21/34,894.62 = 22,617/x
  3. Step 3: Cross multiply
    25,274.21x = 34,894.62 × 22,617
  4. Step 4: Simplify right side
    25,274.21x = 789,211,620.54
  5. Step 5: Solve for x
    x = 789,211,620.54/25,274.21
  6. Step 6: Final answer
    x = 31,225.97

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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.