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Finding the Fourth Proportional to 15,982.14, 23,978.61 and 6,626.64

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Solution

The fourth proportional to 15,982.14, 23,978.61 and 6,626.64 is: 9,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.14 : 23,978.61 = 6,626.64 : x
  2. Step 2: Convert to fraction form
    15,982.14/23,978.61 = 6,626.64/x
  3. Step 3: Cross multiply
    15,982.14x = 23,978.61 × 6,626.64
  4. Step 4: Simplify right side
    15,982.14x = 158,897,616.17
  5. Step 5: Solve for x
    x = 158,897,616.17/15,982.14
  6. Step 6: Final answer
    x = 9,942.20

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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.