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Finding the Fourth Proportional to 18,717.86, 25,830.22 and 10,219.65

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Solution

The fourth proportional to 18,717.86, 25,830.22 and 10,219.65 is: 14,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717.86 : 25,830.22 = 10,219.65 : x
  2. Step 2: Convert to fraction form
    18,717.86/25,830.22 = 10,219.65/x
  3. Step 3: Cross multiply
    18,717.86x = 25,830.22 × 10,219.65
  4. Step 4: Simplify right side
    18,717.86x = 263,975,807.82
  5. Step 5: Solve for x
    x = 263,975,807.82/18,717.86
  6. Step 6: Final answer
    x = 14,102.88

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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.