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Finding the Fourth Proportional to 23,754.96, 32,780.02 and 13,144.36

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Solution

The fourth proportional to 23,754.96, 32,780.02 and 13,144.36 is: 18,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.96 : 32,780.02 = 13,144.36 : x
  2. Step 2: Convert to fraction form
    23,754.96/32,780.02 = 13,144.36/x
  3. Step 3: Cross multiply
    23,754.96x = 32,780.02 × 13,144.36
  4. Step 4: Simplify right side
    23,754.96x = 430,872,383.69
  5. Step 5: Solve for x
    x = 430,872,383.69/23,754.96
  6. Step 6: Final answer
    x = 18,138.21

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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.