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Finding the Fourth Proportional to 17,882.56, 24,674.34 and 10,809.38

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Solution

The fourth proportional to 17,882.56, 24,674.34 and 10,809.38 is: 14,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.56 : 24,674.34 = 10,809.38 : x
  2. Step 2: Convert to fraction form
    17,882.56/24,674.34 = 10,809.38/x
  3. Step 3: Cross multiply
    17,882.56x = 24,674.34 × 10,809.38
  4. Step 4: Simplify right side
    17,882.56x = 266,714,317.31
  5. Step 5: Solve for x
    x = 266,714,317.31/17,882.56
  6. Step 6: Final answer
    x = 14,914.77

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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.