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Finding the Fourth Proportional to 21,370.08, 32,040 and 8,211.36

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Solution

The fourth proportional to 21,370.08, 32,040 and 8,211.36 is: 12,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,370.08 : 32,040 = 8,211.36 : x
  2. Step 2: Convert to fraction form
    21,370.08/32,040 = 8,211.36/x
  3. Step 3: Cross multiply
    21,370.08x = 32,040 × 8,211.36
  4. Step 4: Simplify right side
    21,370.08x = 263,091,974.40
  5. Step 5: Solve for x
    x = 263,091,974.40/21,370.08
  6. Step 6: Final answer
    x = 12,311.23

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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.