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Finding the Fourth Proportional to 18,412.38, 25,409.43 and 10,964.70

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Solution

The fourth proportional to 18,412.38, 25,409.43 and 10,964.70 is: 15,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.38 : 25,409.43 = 10,964.70 : x
  2. Step 2: Convert to fraction form
    18,412.38/25,409.43 = 10,964.70/x
  3. Step 3: Cross multiply
    18,412.38x = 25,409.43 × 10,964.70
  4. Step 4: Simplify right side
    18,412.38x = 278,606,777.12
  5. Step 5: Solve for x
    x = 278,606,777.12/18,412.38
  6. Step 6: Final answer
    x = 15,131.49

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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.