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Finding the Fourth Proportional to 17,176.06, 25,764 and 5,486.50

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Solution

The fourth proportional to 17,176.06, 25,764 and 5,486.50 is: 8,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176.06 : 25,764 = 5,486.50 : x
  2. Step 2: Convert to fraction form
    17,176.06/25,764 = 5,486.50/x
  3. Step 3: Cross multiply
    17,176.06x = 25,764 × 5,486.50
  4. Step 4: Simplify right side
    17,176.06x = 141,354,186
  5. Step 5: Solve for x
    x = 141,354,186/17,176.06
  6. Step 6: Final answer
    x = 8,229.72

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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.