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Finding the Fourth Proportional to 23,870.87, 35,806.32 and 9,076.37

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Solution

The fourth proportional to 23,870.87, 35,806.32 and 9,076.37 is: 13,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.87 : 35,806.32 = 9,076.37 : x
  2. Step 2: Convert to fraction form
    23,870.87/35,806.32 = 9,076.37/x
  3. Step 3: Cross multiply
    23,870.87x = 35,806.32 × 9,076.37
  4. Step 4: Simplify right side
    23,870.87x = 324,991,408.66
  5. Step 5: Solve for x
    x = 324,991,408.66/23,870.87
  6. Step 6: Final answer
    x = 13,614.56

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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.