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Finding the Fourth Proportional to 12,442.08, 17,170.44 and 7,137.84

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Solution

The fourth proportional to 12,442.08, 17,170.44 and 7,137.84 is: 9,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.08 : 17,170.44 = 7,137.84 : x
  2. Step 2: Convert to fraction form
    12,442.08/17,170.44 = 7,137.84/x
  3. Step 3: Cross multiply
    12,442.08x = 17,170.44 × 7,137.84
  4. Step 4: Simplify right side
    12,442.08x = 122,559,853.45
  5. Step 5: Solve for x
    x = 122,559,853.45/12,442.08
  6. Step 6: Final answer
    x = 9,850.43

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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.