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Finding the Fourth Proportional to 18,717.30, 25,829.49 and 10,219.68

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Solution

The fourth proportional to 18,717.30, 25,829.49 and 10,219.68 is: 14,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717.30 : 25,829.49 = 10,219.68 : x
  2. Step 2: Convert to fraction form
    18,717.30/25,829.49 = 10,219.68/x
  3. Step 3: Cross multiply
    18,717.30x = 25,829.49 × 10,219.68
  4. Step 4: Simplify right side
    18,717.30x = 263,969,122.36
  5. Step 5: Solve for x
    x = 263,969,122.36/18,717.30
  6. Step 6: Final answer
    x = 14,102.95

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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.