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Finding the Fourth Proportional to 27,730.52, 38,270.78 and 15,797.72

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Solution

The fourth proportional to 27,730.52, 38,270.78 and 15,797.72 is: 21,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.52 : 38,270.78 = 15,797.72 : x
  2. Step 2: Convert to fraction form
    27,730.52/38,270.78 = 15,797.72/x
  3. Step 3: Cross multiply
    27,730.52x = 38,270.78 × 15,797.72
  4. Step 4: Simplify right side
    27,730.52x = 604,591,066.62
  5. Step 5: Solve for x
    x = 604,591,066.62/27,730.52
  6. Step 6: Final answer
    x = 21,802.37

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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.