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Finding the Fourth Proportional to 25,523.56, 38,285.34 and 7,994.75

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Solution

The fourth proportional to 25,523.56, 38,285.34 and 7,994.75 is: 11,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.56 : 38,285.34 = 7,994.75 : x
  2. Step 2: Convert to fraction form
    25,523.56/38,285.34 = 7,994.75/x
  3. Step 3: Cross multiply
    25,523.56x = 38,285.34 × 7,994.75
  4. Step 4: Simplify right side
    25,523.56x = 306,081,681.99
  5. Step 5: Solve for x
    x = 306,081,681.99/25,523.56
  6. Step 6: Final answer
    x = 11,992.13

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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.