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Finding the Fourth Proportional to 22,521.38, 33,782.54 and 6,939

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Solution

The fourth proportional to 22,521.38, 33,782.54 and 6,939 is: 10,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.38 : 33,782.54 = 6,939 : x
  2. Step 2: Convert to fraction form
    22,521.38/33,782.54 = 6,939/x
  3. Step 3: Cross multiply
    22,521.38x = 33,782.54 × 6,939
  4. Step 4: Simplify right side
    22,521.38x = 234,417,010.37
  5. Step 5: Solve for x
    x = 234,417,010.37/22,521.38
  6. Step 6: Final answer
    x = 10,408.65

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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.