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Finding the Fourth Proportional to 25,855.17, 38,782.89 and 10,272.84

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Solution

The fourth proportional to 25,855.17, 38,782.89 and 10,272.84 is: 15,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.17 : 38,782.89 = 10,272.84 : x
  2. Step 2: Convert to fraction form
    25,855.17/38,782.89 = 10,272.84/x
  3. Step 3: Cross multiply
    25,855.17x = 38,782.89 × 10,272.84
  4. Step 4: Simplify right side
    25,855.17x = 398,410,423.71
  5. Step 5: Solve for x
    x = 398,410,423.71/25,855.17
  6. Step 6: Final answer
    x = 15,409.31

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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.