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Finding the Fourth Proportional to 17,131.23, 25,696.47 and 7,897.23

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Solution

The fourth proportional to 17,131.23, 25,696.47 and 7,897.23 is: 11,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.23 : 25,696.47 = 7,897.23 : x
  2. Step 2: Convert to fraction form
    17,131.23/25,696.47 = 7,897.23/x
  3. Step 3: Cross multiply
    17,131.23x = 25,696.47 × 7,897.23
  4. Step 4: Simplify right side
    17,131.23x = 202,930,933.78
  5. Step 5: Solve for x
    x = 202,930,933.78/17,131.23
  6. Step 6: Final answer
    x = 11,845.67

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1.5x scale

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.