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Finding the Fourth Proportional to 25,832.30, 38,668.05 and 19,893.89

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Solution

The fourth proportional to 25,832.30, 38,668.05 and 19,893.89 is: 29,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.30 : 38,668.05 = 19,893.89 : x
  2. Step 2: Convert to fraction form
    25,832.30/38,668.05 = 19,893.89/x
  3. Step 3: Cross multiply
    25,832.30x = 38,668.05 × 19,893.89
  4. Step 4: Simplify right side
    25,832.30x = 769,258,029.88
  5. Step 5: Solve for x
    x = 769,258,029.88/25,832.30
  6. Step 6: Final answer
    x = 29,778.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.