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Finding the Fourth Proportional to 17,978.24, 26,959.20 and 7,584.32

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Solution

The fourth proportional to 17,978.24, 26,959.20 and 7,584.32 is: 11,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.24 : 26,959.20 = 7,584.32 : x
  2. Step 2: Convert to fraction form
    17,978.24/26,959.20 = 7,584.32/x
  3. Step 3: Cross multiply
    17,978.24x = 26,959.20 × 7,584.32
  4. Step 4: Simplify right side
    17,978.24x = 204,467,199.74
  5. Step 5: Solve for x
    x = 204,467,199.74/17,978.24
  6. Step 6: Final answer
    x = 11,373.04

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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.