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Finding the Fourth Proportional to 22,558.66, 33,841.23 and 6,977.50

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Solution

The fourth proportional to 22,558.66, 33,841.23 and 6,977.50 is: 10,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.66 : 33,841.23 = 6,977.50 : x
  2. Step 2: Convert to fraction form
    22,558.66/33,841.23 = 6,977.50/x
  3. Step 3: Cross multiply
    22,558.66x = 33,841.23 × 6,977.50
  4. Step 4: Simplify right side
    22,558.66x = 236,127,182.33
  5. Step 5: Solve for x
    x = 236,127,182.33/22,558.66
  6. Step 6: Final answer
    x = 10,467.25

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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.