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Finding the Fourth Proportional to 18,685.50, 25,786.26 and 10,302

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Solution

The fourth proportional to 18,685.50, 25,786.26 and 10,302 is: 14,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,685.50 : 25,786.26 = 10,302 : x
  2. Step 2: Convert to fraction form
    18,685.50/25,786.26 = 10,302/x
  3. Step 3: Cross multiply
    18,685.50x = 25,786.26 × 10,302
  4. Step 4: Simplify right side
    18,685.50x = 265,650,050.52
  5. Step 5: Solve for x
    x = 265,650,050.52/18,685.50
  6. Step 6: Final answer
    x = 14,216.91

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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.