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Finding the Fourth Proportional to 22,559.58, 33,842.97 and 7,764.84

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Solution

The fourth proportional to 22,559.58, 33,842.97 and 7,764.84 is: 11,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.58 : 33,842.97 = 7,764.84 : x
  2. Step 2: Convert to fraction form
    22,559.58/33,842.97 = 7,764.84/x
  3. Step 3: Cross multiply
    22,559.58x = 33,842.97 × 7,764.84
  4. Step 4: Simplify right side
    22,559.58x = 262,785,247.17
  5. Step 5: Solve for x
    x = 262,785,247.17/22,559.58
  6. Step 6: Final answer
    x = 11,648.50

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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.