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Finding the Fourth Proportional to 23,744.94, 32,767.80 and 13,134.34

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Solution

The fourth proportional to 23,744.94, 32,767.80 and 13,134.34 is: 18,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.94 : 32,767.80 = 13,134.34 : x
  2. Step 2: Convert to fraction form
    23,744.94/32,767.80 = 13,134.34/x
  3. Step 3: Cross multiply
    23,744.94x = 32,767.80 × 13,134.34
  4. Step 4: Simplify right side
    23,744.94x = 430,383,426.25
  5. Step 5: Solve for x
    x = 430,383,426.25/23,744.94
  6. Step 6: Final answer
    x = 18,125.27

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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.