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Finding the Fourth Proportional to 27,597.25, 38,084.21 and 15,022

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Solution

The fourth proportional to 27,597.25, 38,084.21 and 15,022 is: 20,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.25 : 38,084.21 = 15,022 : x
  2. Step 2: Convert to fraction form
    27,597.25/38,084.21 = 15,022/x
  3. Step 3: Cross multiply
    27,597.25x = 38,084.21 × 15,022
  4. Step 4: Simplify right side
    27,597.25x = 572,101,002.62
  5. Step 5: Solve for x
    x = 572,101,002.62/27,597.25
  6. Step 6: Final answer
    x = 20,730.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.