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Finding the Fourth Proportional to 17,265.72, 25,894.74 and 6,736.02

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Solution

The fourth proportional to 17,265.72, 25,894.74 and 6,736.02 is: 10,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.72 : 25,894.74 = 6,736.02 : x
  2. Step 2: Convert to fraction form
    17,265.72/25,894.74 = 6,736.02/x
  3. Step 3: Cross multiply
    17,265.72x = 25,894.74 × 6,736.02
  4. Step 4: Simplify right side
    17,265.72x = 174,427,486.53
  5. Step 5: Solve for x
    x = 174,427,486.53/17,265.72
  6. Step 6: Final answer
    x = 10,102.53

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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.