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Finding the Fourth Proportional to 22,558.42, 33,840.88 and 6,977.26

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Solution

The fourth proportional to 22,558.42, 33,840.88 and 6,977.26 is: 10,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.42 : 33,840.88 = 6,977.26 : x
  2. Step 2: Convert to fraction form
    22,558.42/33,840.88 = 6,977.26/x
  3. Step 3: Cross multiply
    22,558.42x = 33,840.88 × 6,977.26
  4. Step 4: Simplify right side
    22,558.42x = 236,116,618.39
  5. Step 5: Solve for x
    x = 236,116,618.39/22,558.42
  6. Step 6: Final answer
    x = 10,466.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.