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Finding the Fourth Proportional to 23,993.84, 35,983.80 and 9,201.68

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Solution

The fourth proportional to 23,993.84, 35,983.80 and 9,201.68 is: 13,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.84 : 35,983.80 = 9,201.68 : x
  2. Step 2: Convert to fraction form
    23,993.84/35,983.80 = 9,201.68/x
  3. Step 3: Cross multiply
    23,993.84x = 35,983.80 × 9,201.68
  4. Step 4: Simplify right side
    23,993.84x = 331,111,412.78
  5. Step 5: Solve for x
    x = 331,111,412.78/23,993.84
  6. Step 6: Final answer
    x = 13,799.85

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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.