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Finding the Fourth Proportional to 12,122.36, 16,733.28 and 7,649.03

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Solution

The fourth proportional to 12,122.36, 16,733.28 and 7,649.03 is: 10,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.36 : 16,733.28 = 7,649.03 : x
  2. Step 2: Convert to fraction form
    12,122.36/16,733.28 = 7,649.03/x
  3. Step 3: Cross multiply
    12,122.36x = 16,733.28 × 7,649.03
  4. Step 4: Simplify right side
    12,122.36x = 127,993,431.24
  5. Step 5: Solve for x
    x = 127,993,431.24/12,122.36
  6. Step 6: Final answer
    x = 10,558.46

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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.