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Finding the Fourth Proportional to 23,833.66, 32,889.36 and 13,223.20

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Solution

The fourth proportional to 23,833.66, 32,889.36 and 13,223.20 is: 18,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.66 : 32,889.36 = 13,223.20 : x
  2. Step 2: Convert to fraction form
    23,833.66/32,889.36 = 13,223.20/x
  3. Step 3: Cross multiply
    23,833.66x = 32,889.36 × 13,223.20
  4. Step 4: Simplify right side
    23,833.66x = 434,902,585.15
  5. Step 5: Solve for x
    x = 434,902,585.15/23,833.66
  6. Step 6: Final answer
    x = 18,247.41

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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.