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Finding the Fourth Proportional to 17,028.88, 25,544.64 and 5,342

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Solution

The fourth proportional to 17,028.88, 25,544.64 and 5,342 is: 8,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028.88 : 25,544.64 = 5,342 : x
  2. Step 2: Convert to fraction form
    17,028.88/25,544.64 = 5,342/x
  3. Step 3: Cross multiply
    17,028.88x = 25,544.64 × 5,342
  4. Step 4: Simplify right side
    17,028.88x = 136,459,466.88
  5. Step 5: Solve for x
    x = 136,459,466.88/17,028.88
  6. Step 6: Final answer
    x = 8,013.41

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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.