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Finding the Fourth Proportional to 12,860.56, 17,745.24 and 12,204.46

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Solution

The fourth proportional to 12,860.56, 17,745.24 and 12,204.46 is: 16,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.56 : 17,745.24 = 12,204.46 : x
  2. Step 2: Convert to fraction form
    12,860.56/17,745.24 = 12,204.46/x
  3. Step 3: Cross multiply
    12,860.56x = 17,745.24 × 12,204.46
  4. Step 4: Simplify right side
    12,860.56x = 216,571,071.77
  5. Step 5: Solve for x
    x = 216,571,071.77/12,860.56
  6. Step 6: Final answer
    x = 16,839.94

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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.