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Finding the Fourth Proportional to 17,211.78, 25,821.72 and 6,823.53

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Solution

The fourth proportional to 17,211.78, 25,821.72 and 6,823.53 is: 10,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.78 : 25,821.72 = 6,823.53 : x
  2. Step 2: Convert to fraction form
    17,211.78/25,821.72 = 6,823.53/x
  3. Step 3: Cross multiply
    17,211.78x = 25,821.72 × 6,823.53
  4. Step 4: Simplify right side
    17,211.78x = 176,195,281.07
  5. Step 5: Solve for x
    x = 176,195,281.07/17,211.78
  6. Step 6: Final answer
    x = 10,236.90

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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.