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Finding the Fourth Proportional to 17,023.17, 23,491.96 and 9,571.17

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Solution

The fourth proportional to 17,023.17, 23,491.96 and 9,571.17 is: 13,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.17 : 23,491.96 = 9,571.17 : x
  2. Step 2: Convert to fraction form
    17,023.17/23,491.96 = 9,571.17/x
  3. Step 3: Cross multiply
    17,023.17x = 23,491.96 × 9,571.17
  4. Step 4: Simplify right side
    17,023.17x = 224,845,542.79
  5. Step 5: Solve for x
    x = 224,845,542.79/17,023.17
  6. Step 6: Final answer
    x = 13,208.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.