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Finding the Fourth Proportional to 23,839.36, 35,765.50 and 7,199.94

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Solution

The fourth proportional to 23,839.36, 35,765.50 and 7,199.94 is: 10,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.36 : 35,765.50 = 7,199.94 : x
  2. Step 2: Convert to fraction form
    23,839.36/35,765.50 = 7,199.94/x
  3. Step 3: Cross multiply
    23,839.36x = 35,765.50 × 7,199.94
  4. Step 4: Simplify right side
    23,839.36x = 257,509,382.51
  5. Step 5: Solve for x
    x = 257,509,382.51/23,839.36
  6. Step 6: Final answer
    x = 10,801.86

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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.