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Finding the Fourth Proportional to 23,782.58, 32,819.87 and 13,710.97

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Solution

The fourth proportional to 23,782.58, 32,819.87 and 13,710.97 is: 18,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.58 : 32,819.87 = 13,710.97 : x
  2. Step 2: Convert to fraction form
    23,782.58/32,819.87 = 13,710.97/x
  3. Step 3: Cross multiply
    23,782.58x = 32,819.87 × 13,710.97
  4. Step 4: Simplify right side
    23,782.58x = 449,992,252.97
  5. Step 5: Solve for x
    x = 449,992,252.97/23,782.58
  6. Step 6: Final answer
    x = 18,921.09

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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.