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Finding the Fourth Proportional to 21,182.70, 31,774.29 and 6,391.76

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Solution

The fourth proportional to 21,182.70, 31,774.29 and 6,391.76 is: 9,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.70 : 31,774.29 = 6,391.76 : x
  2. Step 2: Convert to fraction form
    21,182.70/31,774.29 = 6,391.76/x
  3. Step 3: Cross multiply
    21,182.70x = 31,774.29 × 6,391.76
  4. Step 4: Simplify right side
    21,182.70x = 203,093,635.85
  5. Step 5: Solve for x
    x = 203,093,635.85/21,182.70
  6. Step 6: Final answer
    x = 9,587.71

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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.