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Finding the Fourth Proportional to 12,283.36, 16,942.44 and 7,570.24

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Solution

The fourth proportional to 12,283.36, 16,942.44 and 7,570.24 is: 10,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.36 : 16,942.44 = 7,570.24 : x
  2. Step 2: Convert to fraction form
    12,283.36/16,942.44 = 7,570.24/x
  3. Step 3: Cross multiply
    12,283.36x = 16,942.44 × 7,570.24
  4. Step 4: Simplify right side
    12,283.36x = 128,258,336.99
  5. Step 5: Solve for x
    x = 128,258,336.99/12,283.36
  6. Step 6: Final answer
    x = 10,441.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.