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Finding the Fourth Proportional to 17,674, 24,390.68 and 9,716.36

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Solution

The fourth proportional to 17,674, 24,390.68 and 9,716.36 is: 13,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674 : 24,390.68 = 9,716.36 : x
  2. Step 2: Convert to fraction form
    17,674/24,390.68 = 9,716.36/x
  3. Step 3: Cross multiply
    17,674x = 24,390.68 × 9,716.36
  4. Step 4: Simplify right side
    17,674x = 236,988,627.52
  5. Step 5: Solve for x
    x = 236,988,627.52/17,674
  6. Step 6: Final answer
    x = 13,408.88

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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.