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Finding the Fourth Proportional to 17,505.82, 26,255.62 and 6,974.96

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Solution

The fourth proportional to 17,505.82, 26,255.62 and 6,974.96 is: 10,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.82 : 26,255.62 = 6,974.96 : x
  2. Step 2: Convert to fraction form
    17,505.82/26,255.62 = 6,974.96/x
  3. Step 3: Cross multiply
    17,505.82x = 26,255.62 × 6,974.96
  4. Step 4: Simplify right side
    17,505.82x = 183,131,904.79
  5. Step 5: Solve for x
    x = 183,131,904.79/17,505.82
  6. Step 6: Final answer
    x = 10,461.20

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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.