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Finding the Fourth Proportional to 12,442.37, 17,146.62 and 7,958.31

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Solution

The fourth proportional to 12,442.37, 17,146.62 and 7,958.31 is: 10,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.37 : 17,146.62 = 7,958.31 : x
  2. Step 2: Convert to fraction form
    12,442.37/17,146.62 = 7,958.31/x
  3. Step 3: Cross multiply
    12,442.37x = 17,146.62 × 7,958.31
  4. Step 4: Simplify right side
    12,442.37x = 136,458,117.41
  5. Step 5: Solve for x
    x = 136,458,117.41/12,442.37
  6. Step 6: Final answer
    x = 10,967.21

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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.