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Finding the Fourth Proportional to 21,817.33, 32,738.33 and 9,336.24

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Solution

The fourth proportional to 21,817.33, 32,738.33 and 9,336.24 is: 14,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.33 : 32,738.33 = 9,336.24 : x
  2. Step 2: Convert to fraction form
    21,817.33/32,738.33 = 9,336.24/x
  3. Step 3: Cross multiply
    21,817.33x = 32,738.33 × 9,336.24
  4. Step 4: Simplify right side
    21,817.33x = 305,652,929.42
  5. Step 5: Solve for x
    x = 305,652,929.42/21,817.33
  6. Step 6: Final answer
    x = 14,009.64

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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.