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Finding the Fourth Proportional to 21,071.70, 31,589.19 and 7,920.54

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Solution

The fourth proportional to 21,071.70, 31,589.19 and 7,920.54 is: 11,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.70 : 31,589.19 = 7,920.54 : x
  2. Step 2: Convert to fraction form
    21,071.70/31,589.19 = 7,920.54/x
  3. Step 3: Cross multiply
    21,071.70x = 31,589.19 × 7,920.54
  4. Step 4: Simplify right side
    21,071.70x = 250,203,442.96
  5. Step 5: Solve for x
    x = 250,203,442.96/21,071.70
  6. Step 6: Final answer
    x = 11,873.91

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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.