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Finding the Fourth Proportional to 18,598, 25,665.24 and 10,215.04

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Solution

The fourth proportional to 18,598, 25,665.24 and 10,215.04 is: 14,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598 : 25,665.24 = 10,215.04 : x
  2. Step 2: Convert to fraction form
    18,598/25,665.24 = 10,215.04/x
  3. Step 3: Cross multiply
    18,598x = 25,665.24 × 10,215.04
  4. Step 4: Simplify right side
    18,598x = 262,171,453.21
  5. Step 5: Solve for x
    x = 262,171,453.21/18,598
  6. Step 6: Final answer
    x = 14,096.76

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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.