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Finding the Fourth Proportional to 12,135.17, 16,745.24 and 6,829.89

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Solution

The fourth proportional to 12,135.17, 16,745.24 and 6,829.89 is: 9,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.17 : 16,745.24 = 6,829.89 : x
  2. Step 2: Convert to fraction form
    12,135.17/16,745.24 = 6,829.89/x
  3. Step 3: Cross multiply
    12,135.17x = 16,745.24 × 6,829.89
  4. Step 4: Simplify right side
    12,135.17x = 114,368,147.22
  5. Step 5: Solve for x
    x = 114,368,147.22/12,135.17
  6. Step 6: Final answer
    x = 9,424.52

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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.