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Finding the Fourth Proportional to 23,830.40, 32,889.90 and 13,223.44

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Solution

The fourth proportional to 23,830.40, 32,889.90 and 13,223.44 is: 18,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.40 : 32,889.90 = 13,223.44 : x
  2. Step 2: Convert to fraction form
    23,830.40/32,889.90 = 13,223.44/x
  3. Step 3: Cross multiply
    23,830.40x = 32,889.90 × 13,223.44
  4. Step 4: Simplify right side
    23,830.40x = 434,917,619.26
  5. Step 5: Solve for x
    x = 434,917,619.26/23,830.40
  6. Step 6: Final answer
    x = 18,250.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.