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Finding the Fourth Proportional to 18,761.50, 25,890.87 and 10,378

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Solution

The fourth proportional to 18,761.50, 25,890.87 and 10,378 is: 14,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,761.50 : 25,890.87 = 10,378 : x
  2. Step 2: Convert to fraction form
    18,761.50/25,890.87 = 10,378/x
  3. Step 3: Cross multiply
    18,761.50x = 25,890.87 × 10,378
  4. Step 4: Simplify right side
    18,761.50x = 268,695,448.86
  5. Step 5: Solve for x
    x = 268,695,448.86/18,761.50
  6. Step 6: Final answer
    x = 14,321.64

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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.