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Finding the Fourth Proportional to 18,778.50, 25,914.60 and 10,395

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Solution

The fourth proportional to 18,778.50, 25,914.60 and 10,395 is: 14,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.50 : 25,914.60 = 10,395 : x
  2. Step 2: Convert to fraction form
    18,778.50/25,914.60 = 10,395/x
  3. Step 3: Cross multiply
    18,778.50x = 25,914.60 × 10,395
  4. Step 4: Simplify right side
    18,778.50x = 269,382,267
  5. Step 5: Solve for x
    x = 269,382,267/18,778.50
  6. Step 6: Final answer
    x = 14,345.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.