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Finding the Fourth Proportional to 23,995.52, 35,970.24 and 7,568

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Solution

The fourth proportional to 23,995.52, 35,970.24 and 7,568 is: 11,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,995.52 : 35,970.24 = 7,568 : x
  2. Step 2: Convert to fraction form
    23,995.52/35,970.24 = 7,568/x
  3. Step 3: Cross multiply
    23,995.52x = 35,970.24 × 7,568
  4. Step 4: Simplify right side
    23,995.52x = 272,222,776.32
  5. Step 5: Solve for x
    x = 272,222,776.32/23,995.52
  6. Step 6: Final answer
    x = 11,344.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.