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Finding the Fourth Proportional to 12,177.40, 16,804.92 and 7,144.60

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Solution

The fourth proportional to 12,177.40, 16,804.92 and 7,144.60 is: 9,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.40 : 16,804.92 = 7,144.60 : x
  2. Step 2: Convert to fraction form
    12,177.40/16,804.92 = 7,144.60/x
  3. Step 3: Cross multiply
    12,177.40x = 16,804.92 × 7,144.60
  4. Step 4: Simplify right side
    12,177.40x = 120,064,431.43
  5. Step 5: Solve for x
    x = 120,064,431.43/12,177.40
  6. Step 6: Final answer
    x = 9,859.61

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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.