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Finding the Fourth Proportional to 12,654.22, 17,463 and 6,989

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Solution

The fourth proportional to 12,654.22, 17,463 and 6,989 is: 9,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.22 : 17,463 = 6,989 : x
  2. Step 2: Convert to fraction form
    12,654.22/17,463 = 6,989/x
  3. Step 3: Cross multiply
    12,654.22x = 17,463 × 6,989
  4. Step 4: Simplify right side
    12,654.22x = 122,048,907
  5. Step 5: Solve for x
    x = 122,048,907/12,654.22
  6. Step 6: Final answer
    x = 9,644.92

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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.