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Finding the Fourth Proportional to 23,797.36, 32,833.80 and 14,233.34

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Solution

The fourth proportional to 23,797.36, 32,833.80 and 14,233.34 is: 19,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.36 : 32,833.80 = 14,233.34 : x
  2. Step 2: Convert to fraction form
    23,797.36/32,833.80 = 14,233.34/x
  3. Step 3: Cross multiply
    23,797.36x = 32,833.80 × 14,233.34
  4. Step 4: Simplify right side
    23,797.36x = 467,334,638.89
  5. Step 5: Solve for x
    x = 467,334,638.89/23,797.36
  6. Step 6: Final answer
    x = 19,638.09

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Why These Related Problems?

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