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Finding the Fourth Proportional to 23,406.93, 35,106.57 and 7,824.51

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Solution

The fourth proportional to 23,406.93, 35,106.57 and 7,824.51 is: 11,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.93 : 35,106.57 = 7,824.51 : x
  2. Step 2: Convert to fraction form
    23,406.93/35,106.57 = 7,824.51/x
  3. Step 3: Cross multiply
    23,406.93x = 35,106.57 × 7,824.51
  4. Step 4: Simplify right side
    23,406.93x = 274,691,708.03
  5. Step 5: Solve for x
    x = 274,691,708.03/23,406.93
  6. Step 6: Final answer
    x = 11,735.49

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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.