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Finding the Fourth Proportional to 22,493.40, 33,744.65 and 6,698.70

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Solution

The fourth proportional to 22,493.40, 33,744.65 and 6,698.70 is: 10,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.40 : 33,744.65 = 6,698.70 : x
  2. Step 2: Convert to fraction form
    22,493.40/33,744.65 = 6,698.70/x
  3. Step 3: Cross multiply
    22,493.40x = 33,744.65 × 6,698.70
  4. Step 4: Simplify right side
    22,493.40x = 226,045,291.14
  5. Step 5: Solve for x
    x = 226,045,291.14/22,493.40
  6. Step 6: Final answer
    x = 10,049.41

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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.