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Finding the Fourth Proportional to 17,023, 23,491.74 and 9,571

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Solution

The fourth proportional to 17,023, 23,491.74 and 9,571 is: 13,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023 : 23,491.74 = 9,571 : x
  2. Step 2: Convert to fraction form
    17,023/23,491.74 = 9,571/x
  3. Step 3: Cross multiply
    17,023x = 23,491.74 × 9,571
  4. Step 4: Simplify right side
    17,023x = 224,839,443.54
  5. Step 5: Solve for x
    x = 224,839,443.54/17,023
  6. Step 6: Final answer
    x = 13,207.98

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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.