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Finding the Fourth Proportional to 23,325.76, 34,994.06 and 7,743.44

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Solution

The fourth proportional to 23,325.76, 34,994.06 and 7,743.44 is: 11,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,325.76 : 34,994.06 = 7,743.44 : x
  2. Step 2: Convert to fraction form
    23,325.76/34,994.06 = 7,743.44/x
  3. Step 3: Cross multiply
    23,325.76x = 34,994.06 × 7,743.44
  4. Step 4: Simplify right side
    23,325.76x = 270,974,403.97
  5. Step 5: Solve for x
    x = 270,974,403.97/23,325.76
  6. Step 6: Final answer
    x = 11,616.96

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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.