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Finding the Fourth Proportional to 15,897.85, 23,847.22 and 4,211.07

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Solution

The fourth proportional to 15,897.85, 23,847.22 and 4,211.07 is: 6,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.85 : 23,847.22 = 4,211.07 : x
  2. Step 2: Convert to fraction form
    15,897.85/23,847.22 = 4,211.07/x
  3. Step 3: Cross multiply
    15,897.85x = 23,847.22 × 4,211.07
  4. Step 4: Simplify right side
    15,897.85x = 100,422,193.49
  5. Step 5: Solve for x
    x = 100,422,193.49/15,897.85
  6. Step 6: Final answer
    x = 6,316.72

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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.