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Finding the Fourth Proportional to 12,896.24, 17,797.32 and 7,590.80

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Solution

The fourth proportional to 12,896.24, 17,797.32 and 7,590.80 is: 10,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.24 : 17,797.32 = 7,590.80 : x
  2. Step 2: Convert to fraction form
    12,896.24/17,797.32 = 7,590.80/x
  3. Step 3: Cross multiply
    12,896.24x = 17,797.32 × 7,590.80
  4. Step 4: Simplify right side
    12,896.24x = 135,095,896.66
  5. Step 5: Solve for x
    x = 135,095,896.66/12,896.24
  6. Step 6: Final answer
    x = 10,475.60

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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.