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Finding the Fourth Proportional to 12,643.47, 17,450.64 and 8,394.75

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Solution

The fourth proportional to 12,643.47, 17,450.64 and 8,394.75 is: 11,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.47 : 17,450.64 = 8,394.75 : x
  2. Step 2: Convert to fraction form
    12,643.47/17,450.64 = 8,394.75/x
  3. Step 3: Cross multiply
    12,643.47x = 17,450.64 × 8,394.75
  4. Step 4: Simplify right side
    12,643.47x = 146,493,760.14
  5. Step 5: Solve for x
    x = 146,493,760.14/12,643.47
  6. Step 6: Final answer
    x = 11,586.52

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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.