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Finding the Fourth Proportional to 23,314.56, 34,964.28 and 7,728

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Solution

The fourth proportional to 23,314.56, 34,964.28 and 7,728 is: 11,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.56 : 34,964.28 = 7,728 : x
  2. Step 2: Convert to fraction form
    23,314.56/34,964.28 = 7,728/x
  3. Step 3: Cross multiply
    23,314.56x = 34,964.28 × 7,728
  4. Step 4: Simplify right side
    23,314.56x = 270,203,955.84
  5. Step 5: Solve for x
    x = 270,203,955.84/23,314.56
  6. Step 6: Final answer
    x = 11,589.49

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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.