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Finding the Fourth Proportional to 17,319, 23,902.56 and 9,766.88

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Solution

The fourth proportional to 17,319, 23,902.56 and 9,766.88 is: 13,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,319 : 23,902.56 = 9,766.88 : x
  2. Step 2: Convert to fraction form
    17,319/23,902.56 = 9,766.88/x
  3. Step 3: Cross multiply
    17,319x = 23,902.56 × 9,766.88
  4. Step 4: Simplify right side
    17,319x = 233,453,435.21
  5. Step 5: Solve for x
    x = 233,453,435.21/17,319
  6. Step 6: Final answer
    x = 13,479.61

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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.