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Finding the Fourth Proportional to 25,850.58, 38,776.07 and 14,157.42

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Solution

The fourth proportional to 25,850.58, 38,776.07 and 14,157.42 is: 21,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.58 : 38,776.07 = 14,157.42 : x
  2. Step 2: Convert to fraction form
    25,850.58/38,776.07 = 14,157.42/x
  3. Step 3: Cross multiply
    25,850.58x = 38,776.07 × 14,157.42
  4. Step 4: Simplify right side
    25,850.58x = 548,968,919.29
  5. Step 5: Solve for x
    x = 548,968,919.29/25,850.58
  6. Step 6: Final answer
    x = 21,236.24

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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.