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Finding the Fourth Proportional to 25,523.96, 38,285.94 and 7,995.16

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Solution

The fourth proportional to 25,523.96, 38,285.94 and 7,995.16 is: 11,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.96 : 38,285.94 = 7,995.16 : x
  2. Step 2: Convert to fraction form
    25,523.96/38,285.94 = 7,995.16/x
  3. Step 3: Cross multiply
    25,523.96x = 38,285.94 × 7,995.16
  4. Step 4: Simplify right side
    25,523.96x = 306,102,216.05
  5. Step 5: Solve for x
    x = 306,102,216.05/25,523.96
  6. Step 6: Final answer
    x = 11,992.74

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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.