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Finding the Fourth Proportional to 23,007.78, 31,672.38 and 17,028.18

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Solution

The fourth proportional to 23,007.78, 31,672.38 and 17,028.18 is: 23,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.78 : 31,672.38 = 17,028.18 : x
  2. Step 2: Convert to fraction form
    23,007.78/31,672.38 = 17,028.18/x
  3. Step 3: Cross multiply
    23,007.78x = 31,672.38 × 17,028.18
  4. Step 4: Simplify right side
    23,007.78x = 539,322,987.67
  5. Step 5: Solve for x
    x = 539,322,987.67/23,007.78
  6. Step 6: Final answer
    x = 23,440.90

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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.