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Finding the Fourth Proportional to 12,427, 17,150.40 and 6,839.08

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Solution

The fourth proportional to 12,427, 17,150.40 and 6,839.08 is: 9,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427 : 17,150.40 = 6,839.08 : x
  2. Step 2: Convert to fraction form
    12,427/17,150.40 = 6,839.08/x
  3. Step 3: Cross multiply
    12,427x = 17,150.40 × 6,839.08
  4. Step 4: Simplify right side
    12,427x = 117,292,957.63
  5. Step 5: Solve for x
    x = 117,292,957.63/12,427
  6. Step 6: Final answer
    x = 9,438.56

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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.