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Finding the Fourth Proportional to 22,896.35, 31,597.37 and 12,824.70

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Solution

The fourth proportional to 22,896.35, 31,597.37 and 12,824.70 is: 17,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.35 : 31,597.37 = 12,824.70 : x
  2. Step 2: Convert to fraction form
    22,896.35/31,597.37 = 12,824.70/x
  3. Step 3: Cross multiply
    22,896.35x = 31,597.37 × 12,824.70
  4. Step 4: Simplify right side
    22,896.35x = 405,226,887.05
  5. Step 5: Solve for x
    x = 405,226,887.05/22,896.35
  6. Step 6: Final answer
    x = 17,698.32

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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.