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Finding the Fourth Proportional to 17,541, 24,207.30 and 10,089

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Solution

The fourth proportional to 17,541, 24,207.30 and 10,089 is: 13,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541 : 24,207.30 = 10,089 : x
  2. Step 2: Convert to fraction form
    17,541/24,207.30 = 10,089/x
  3. Step 3: Cross multiply
    17,541x = 24,207.30 × 10,089
  4. Step 4: Simplify right side
    17,541x = 244,227,449.70
  5. Step 5: Solve for x
    x = 244,227,449.70/17,541
  6. Step 6: Final answer
    x = 13,923.23

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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.