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Finding the Fourth Proportional to 25,670.94, 38,506.32 and 20,509.62

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Solution

The fourth proportional to 25,670.94, 38,506.32 and 20,509.62 is: 30,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.94 : 38,506.32 = 20,509.62 : x
  2. Step 2: Convert to fraction form
    25,670.94/38,506.32 = 20,509.62/x
  3. Step 3: Cross multiply
    25,670.94x = 38,506.32 × 20,509.62
  4. Step 4: Simplify right side
    25,670.94x = 789,749,990.80
  5. Step 5: Solve for x
    x = 789,749,990.80/25,670.94
  6. Step 6: Final answer
    x = 30,764.36

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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.