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Finding the Fourth Proportional to 17,270.16, 25,907.76 and 5,583.84

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Solution

The fourth proportional to 17,270.16, 25,907.76 and 5,583.84 is: 8,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.16 : 25,907.76 = 5,583.84 : x
  2. Step 2: Convert to fraction form
    17,270.16/25,907.76 = 5,583.84/x
  3. Step 3: Cross multiply
    17,270.16x = 25,907.76 × 5,583.84
  4. Step 4: Simplify right side
    17,270.16x = 144,664,786.60
  5. Step 5: Solve for x
    x = 144,664,786.60/17,270.16
  6. Step 6: Final answer
    x = 8,376.57

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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.