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Finding the Fourth Proportional to 25,855.18, 38,786.07 and 9,216.89

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Solution

The fourth proportional to 25,855.18, 38,786.07 and 9,216.89 is: 13,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.18 : 38,786.07 = 9,216.89 : x
  2. Step 2: Convert to fraction form
    25,855.18/38,786.07 = 9,216.89/x
  3. Step 3: Cross multiply
    25,855.18x = 38,786.07 × 9,216.89
  4. Step 4: Simplify right side
    25,855.18x = 357,486,940.72
  5. Step 5: Solve for x
    x = 357,486,940.72/25,855.18
  6. Step 6: Final answer
    x = 13,826.51

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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.