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Finding the Fourth Proportional to 12,189.06, 16,822.09 and 7,408.58

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Solution

The fourth proportional to 12,189.06, 16,822.09 and 7,408.58 is: 10,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.06 : 16,822.09 = 7,408.58 : x
  2. Step 2: Convert to fraction form
    12,189.06/16,822.09 = 7,408.58/x
  3. Step 3: Cross multiply
    12,189.06x = 16,822.09 × 7,408.58
  4. Step 4: Simplify right side
    12,189.06x = 124,627,865.21
  5. Step 5: Solve for x
    x = 124,627,865.21/12,189.06
  6. Step 6: Final answer
    x = 10,224.57

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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.