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Finding the Fourth Proportional to 22,558.41, 33,840.90 and 6,977.25

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Solution

The fourth proportional to 22,558.41, 33,840.90 and 6,977.25 is: 10,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.41 : 33,840.90 = 6,977.25 : x
  2. Step 2: Convert to fraction form
    22,558.41/33,840.90 = 6,977.25/x
  3. Step 3: Cross multiply
    22,558.41x = 33,840.90 × 6,977.25
  4. Step 4: Simplify right side
    22,558.41x = 236,116,419.53
  5. Step 5: Solve for x
    x = 236,116,419.53/22,558.41
  6. Step 6: Final answer
    x = 10,466.89

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Why These Related Problems?

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