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Finding the Fourth Proportional to 22,896.59, 31,597.34 and 12,825.05

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Solution

The fourth proportional to 22,896.59, 31,597.34 and 12,825.05 is: 17,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.59 : 31,597.34 = 12,825.05 : x
  2. Step 2: Convert to fraction form
    22,896.59/31,597.34 = 12,825.05/x
  3. Step 3: Cross multiply
    22,896.59x = 31,597.34 × 12,825.05
  4. Step 4: Simplify right side
    22,896.59x = 405,237,243.26
  5. Step 5: Solve for x
    x = 405,237,243.26/22,896.59
  6. Step 6: Final answer
    x = 17,698.59

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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.