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Finding the Fourth Proportional to 25,853.90, 38,786.92 and 8,323.07

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Solution

The fourth proportional to 25,853.90, 38,786.92 and 8,323.07 is: 12,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.90 : 38,786.92 = 8,323.07 : x
  2. Step 2: Convert to fraction form
    25,853.90/38,786.92 = 8,323.07/x
  3. Step 3: Cross multiply
    25,853.90x = 38,786.92 × 8,323.07
  4. Step 4: Simplify right side
    25,853.90x = 322,826,035.50
  5. Step 5: Solve for x
    x = 322,826,035.50/25,853.90
  6. Step 6: Final answer
    x = 12,486.55

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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.