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Finding the Fourth Proportional to 18,717.54, 25,830.29 and 10,219.83

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Solution

The fourth proportional to 18,717.54, 25,830.29 and 10,219.83 is: 14,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717.54 : 25,830.29 = 10,219.83 : x
  2. Step 2: Convert to fraction form
    18,717.54/25,830.29 = 10,219.83/x
  3. Step 3: Cross multiply
    18,717.54x = 25,830.29 × 10,219.83
  4. Step 4: Simplify right side
    18,717.54x = 263,981,159.88
  5. Step 5: Solve for x
    x = 263,981,159.88/18,717.54
  6. Step 6: Final answer
    x = 14,103.41

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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.