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Finding the Fourth Proportional to 17,922, 26,883.12 and 5,610

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Solution

The fourth proportional to 17,922, 26,883.12 and 5,610 is: 8,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922 : 26,883.12 = 5,610 : x
  2. Step 2: Convert to fraction form
    17,922/26,883.12 = 5,610/x
  3. Step 3: Cross multiply
    17,922x = 26,883.12 × 5,610
  4. Step 4: Simplify right side
    17,922x = 150,814,303.20
  5. Step 5: Solve for x
    x = 150,814,303.20/17,922
  6. Step 6: Final answer
    x = 8,415.04

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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.