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Finding the Fourth Proportional to 17,629, 26,443.52 and 5,317

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Solution

The fourth proportional to 17,629, 26,443.52 and 5,317 is: 7,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629 : 26,443.52 = 5,317 : x
  2. Step 2: Convert to fraction form
    17,629/26,443.52 = 5,317/x
  3. Step 3: Cross multiply
    17,629x = 26,443.52 × 5,317
  4. Step 4: Simplify right side
    17,629x = 140,600,195.84
  5. Step 5: Solve for x
    x = 140,600,195.84/17,629
  6. Step 6: Final answer
    x = 7,975.51

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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.