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Finding the Fourth Proportional to 18,598.38, 25,665.77 and 10,214.88

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Solution

The fourth proportional to 18,598.38, 25,665.77 and 10,214.88 is: 14,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.38 : 25,665.77 = 10,214.88 : x
  2. Step 2: Convert to fraction form
    18,598.38/25,665.77 = 10,214.88/x
  3. Step 3: Cross multiply
    18,598.38x = 25,665.77 × 10,214.88
  4. Step 4: Simplify right side
    18,598.38x = 262,172,760.66
  5. Step 5: Solve for x
    x = 262,172,760.66/18,598.38
  6. Step 6: Final answer
    x = 14,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.