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Finding the Fourth Proportional to 25,832.25, 38,754.86 and 7,364.25

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Solution

The fourth proportional to 25,832.25, 38,754.86 and 7,364.25 is: 11,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.25 : 38,754.86 = 7,364.25 : x
  2. Step 2: Convert to fraction form
    25,832.25/38,754.86 = 7,364.25/x
  3. Step 3: Cross multiply
    25,832.25x = 38,754.86 × 7,364.25
  4. Step 4: Simplify right side
    25,832.25x = 285,400,440.93
  5. Step 5: Solve for x
    x = 285,400,440.93/25,832.25
  6. Step 6: Final answer
    x = 11,048.22

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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.