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Finding the Fourth Proportional to 23,310.56, 34,958.28 and 7,724

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Solution

The fourth proportional to 23,310.56, 34,958.28 and 7,724 is: 11,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310.56 : 34,958.28 = 7,724 : x
  2. Step 2: Convert to fraction form
    23,310.56/34,958.28 = 7,724/x
  3. Step 3: Cross multiply
    23,310.56x = 34,958.28 × 7,724
  4. Step 4: Simplify right side
    23,310.56x = 270,017,754.72
  5. Step 5: Solve for x
    x = 270,017,754.72/23,310.56
  6. Step 6: Final answer
    x = 11,583.49

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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.