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Finding the Fourth Proportional to 12,787.26, 17,646.54 and 7,198.26

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Solution

The fourth proportional to 12,787.26, 17,646.54 and 7,198.26 is: 9,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.26 : 17,646.54 = 7,198.26 : x
  2. Step 2: Convert to fraction form
    12,787.26/17,646.54 = 7,198.26/x
  3. Step 3: Cross multiply
    12,787.26x = 17,646.54 × 7,198.26
  4. Step 4: Simplify right side
    12,787.26x = 127,024,383.02
  5. Step 5: Solve for x
    x = 127,024,383.02/12,787.26
  6. Step 6: Final answer
    x = 9,933.67

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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.