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Finding the Fourth Proportional to 15,897.54, 23,846.31 and 4,211.67

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Solution

The fourth proportional to 15,897.54, 23,846.31 and 4,211.67 is: 6,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.54 : 23,846.31 = 4,211.67 : x
  2. Step 2: Convert to fraction form
    15,897.54/23,846.31 = 4,211.67/x
  3. Step 3: Cross multiply
    15,897.54x = 23,846.31 × 4,211.67
  4. Step 4: Simplify right side
    15,897.54x = 100,432,788.44
  5. Step 5: Solve for x
    x = 100,432,788.44/15,897.54
  6. Step 6: Final answer
    x = 6,317.51

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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.