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Finding the Fourth Proportional to 21,600.33, 32,378.25 and 8,270.19

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Solution

The fourth proportional to 21,600.33, 32,378.25 and 8,270.19 is: 12,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600.33 : 32,378.25 = 8,270.19 : x
  2. Step 2: Convert to fraction form
    21,600.33/32,378.25 = 8,270.19/x
  3. Step 3: Cross multiply
    21,600.33x = 32,378.25 × 8,270.19
  4. Step 4: Simplify right side
    21,600.33x = 267,774,279.37
  5. Step 5: Solve for x
    x = 267,774,279.37/21,600.33
  6. Step 6: Final answer
    x = 12,396.77

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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.