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Finding the Fourth Proportional to 23,833, 32,889.54 and 13,224.34

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Solution

The fourth proportional to 23,833, 32,889.54 and 13,224.34 is: 18,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833 : 32,889.54 = 13,224.34 : x
  2. Step 2: Convert to fraction form
    23,833/32,889.54 = 13,224.34/x
  3. Step 3: Cross multiply
    23,833x = 32,889.54 × 13,224.34
  4. Step 4: Simplify right side
    23,833x = 434,942,459.40
  5. Step 5: Solve for x
    x = 434,942,459.40/23,833
  6. Step 6: Final answer
    x = 18,249.59

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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.