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Finding the Fourth Proportional to 23,696.78, 35,535.24 and 9,647.25

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Solution

The fourth proportional to 23,696.78, 35,535.24 and 9,647.25 is: 14,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.78 : 35,535.24 = 9,647.25 : x
  2. Step 2: Convert to fraction form
    23,696.78/35,535.24 = 9,647.25/x
  3. Step 3: Cross multiply
    23,696.78x = 35,535.24 × 9,647.25
  4. Step 4: Simplify right side
    23,696.78x = 342,817,384.39
  5. Step 5: Solve for x
    x = 342,817,384.39/23,696.78
  6. Step 6: Final answer
    x = 14,466.84

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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.