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Finding the Fourth Proportional to 12,442.67, 17,170.89 and 6,853.67

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Solution

The fourth proportional to 12,442.67, 17,170.89 and 6,853.67 is: 9,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.67 : 17,170.89 = 6,853.67 : x
  2. Step 2: Convert to fraction form
    12,442.67/17,170.89 = 6,853.67/x
  3. Step 3: Cross multiply
    12,442.67x = 17,170.89 × 6,853.67
  4. Step 4: Simplify right side
    12,442.67x = 117,683,648.03
  5. Step 5: Solve for x
    x = 117,683,648.03/12,442.67
  6. Step 6: Final answer
    x = 9,458.07

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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.