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Finding the Fourth Proportional to 12,197.26, 16,820.55 and 7,418.02

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Solution

The fourth proportional to 12,197.26, 16,820.55 and 7,418.02 is: 10,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.26 : 16,820.55 = 7,418.02 : x
  2. Step 2: Convert to fraction form
    12,197.26/16,820.55 = 7,418.02/x
  3. Step 3: Cross multiply
    12,197.26x = 16,820.55 × 7,418.02
  4. Step 4: Simplify right side
    12,197.26x = 124,775,176.31
  5. Step 5: Solve for x
    x = 124,775,176.31/12,197.26
  6. Step 6: Final answer
    x = 10,229.77

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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.