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Finding the Fourth Proportional to 17,609.28, 24,300.82 and 10,537.38

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Solution

The fourth proportional to 17,609.28, 24,300.82 and 10,537.38 is: 14,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.28 : 24,300.82 = 10,537.38 : x
  2. Step 2: Convert to fraction form
    17,609.28/24,300.82 = 10,537.38/x
  3. Step 3: Cross multiply
    17,609.28x = 24,300.82 × 10,537.38
  4. Step 4: Simplify right side
    17,609.28x = 256,066,974.65
  5. Step 5: Solve for x
    x = 256,066,974.65/17,609.28
  6. Step 6: Final answer
    x = 14,541.59

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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.