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Finding the Fourth Proportional to 12,601.31, 17,396.78 and 7,566.75

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Solution

The fourth proportional to 12,601.31, 17,396.78 and 7,566.75 is: 10,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.31 : 17,396.78 = 7,566.75 : x
  2. Step 2: Convert to fraction form
    12,601.31/17,396.78 = 7,566.75/x
  3. Step 3: Cross multiply
    12,601.31x = 17,396.78 × 7,566.75
  4. Step 4: Simplify right side
    12,601.31x = 131,637,047.23
  5. Step 5: Solve for x
    x = 131,637,047.23/12,601.31
  6. Step 6: Final answer
    x = 10,446.30

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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.