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Finding the Fourth Proportional to 17,041.92, 25,554.22 and 7,800

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Solution

The fourth proportional to 17,041.92, 25,554.22 and 7,800 is: 11,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041.92 : 25,554.22 = 7,800 : x
  2. Step 2: Convert to fraction form
    17,041.92/25,554.22 = 7,800/x
  3. Step 3: Cross multiply
    17,041.92x = 25,554.22 × 7,800
  4. Step 4: Simplify right side
    17,041.92x = 199,322,916
  5. Step 5: Solve for x
    x = 199,322,916/17,041.92
  6. Step 6: Final answer
    x = 11,696.04

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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.