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Finding the Fourth Proportional to 17,583.71, 26,375.47 and 7,195.46

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Solution

The fourth proportional to 17,583.71, 26,375.47 and 7,195.46 is: 10,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.71 : 26,375.47 = 7,195.46 : x
  2. Step 2: Convert to fraction form
    17,583.71/26,375.47 = 7,195.46/x
  3. Step 3: Cross multiply
    17,583.71x = 26,375.47 × 7,195.46
  4. Step 4: Simplify right side
    17,583.71x = 189,783,639.37
  5. Step 5: Solve for x
    x = 189,783,639.37/17,583.71
  6. Step 6: Final answer
    x = 10,793.15

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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.