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Finding the Fourth Proportional to 18,171.34, 27,254.98 and 5,022

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Solution

The fourth proportional to 18,171.34, 27,254.98 and 5,022 is: 7,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171.34 : 27,254.98 = 5,022 : x
  2. Step 2: Convert to fraction form
    18,171.34/27,254.98 = 5,022/x
  3. Step 3: Cross multiply
    18,171.34x = 27,254.98 × 5,022
  4. Step 4: Simplify right side
    18,171.34x = 136,874,515.84
  5. Step 5: Solve for x
    x = 136,874,515.84/18,171.34
  6. Step 6: Final answer
    x = 7,532.44

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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.