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Finding the Fourth Proportional to 17,707.26, 26,571.82 and 7,319

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Solution

The fourth proportional to 17,707.26, 26,571.82 and 7,319 is: 10,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.26 : 26,571.82 = 7,319 : x
  2. Step 2: Convert to fraction form
    17,707.26/26,571.82 = 7,319/x
  3. Step 3: Cross multiply
    17,707.26x = 26,571.82 × 7,319
  4. Step 4: Simplify right side
    17,707.26x = 194,479,150.58
  5. Step 5: Solve for x
    x = 194,479,150.58/17,707.26
  6. Step 6: Final answer
    x = 10,983.02

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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.