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Finding the Fourth Proportional to 17,326, 25,994.58 and 6,232.60

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Solution

The fourth proportional to 17,326, 25,994.58 and 6,232.60 is: 9,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,326 : 25,994.58 = 6,232.60 : x
  2. Step 2: Convert to fraction form
    17,326/25,994.58 = 6,232.60/x
  3. Step 3: Cross multiply
    17,326x = 25,994.58 × 6,232.60
  4. Step 4: Simplify right side
    17,326x = 162,013,819.31
  5. Step 5: Solve for x
    x = 162,013,819.31/17,326
  6. Step 6: Final answer
    x = 9,350.91

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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.