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Finding the Fourth Proportional to 17,443.84, 26,162.97 and 7,580.47

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Solution

The fourth proportional to 17,443.84, 26,162.97 and 7,580.47 is: 11,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.84 : 26,162.97 = 7,580.47 : x
  2. Step 2: Convert to fraction form
    17,443.84/26,162.97 = 7,580.47/x
  3. Step 3: Cross multiply
    17,443.84x = 26,162.97 × 7,580.47
  4. Step 4: Simplify right side
    17,443.84x = 198,327,609.20
  5. Step 5: Solve for x
    x = 198,327,609.20/17,443.84
  6. Step 6: Final answer
    x = 11,369.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.