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Finding the Fourth Proportional to 25,765.34, 38,578.73 and 16,354.41

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Solution

The fourth proportional to 25,765.34, 38,578.73 and 16,354.41 is: 24,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.34 : 38,578.73 = 16,354.41 : x
  2. Step 2: Convert to fraction form
    25,765.34/38,578.73 = 16,354.41/x
  3. Step 3: Cross multiply
    25,765.34x = 38,578.73 × 16,354.41
  4. Step 4: Simplify right side
    25,765.34x = 630,932,233.25
  5. Step 5: Solve for x
    x = 630,932,233.25/25,765.34
  6. Step 6: Final answer
    x = 24,487.63

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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.