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Finding the Fourth Proportional to 12,197.19, 16,840.41 and 7,661.61

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Solution

The fourth proportional to 12,197.19, 16,840.41 and 7,661.61 is: 10,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.19 : 16,840.41 = 7,661.61 : x
  2. Step 2: Convert to fraction form
    12,197.19/16,840.41 = 7,661.61/x
  3. Step 3: Cross multiply
    12,197.19x = 16,840.41 × 7,661.61
  4. Step 4: Simplify right side
    12,197.19x = 129,024,653.66
  5. Step 5: Solve for x
    x = 129,024,653.66/12,197.19
  6. Step 6: Final answer
    x = 10,578.23

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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.