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Finding the Fourth Proportional to 27,766, 38,317.14 and 15,190.84

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Solution

The fourth proportional to 27,766, 38,317.14 and 15,190.84 is: 20,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 38,317.14 = 15,190.84 : x
  2. Step 2: Convert to fraction form
    27,766/38,317.14 = 15,190.84/x
  3. Step 3: Cross multiply
    27,766x = 38,317.14 × 15,190.84
  4. Step 4: Simplify right side
    27,766x = 582,069,543.00
  5. Step 5: Solve for x
    x = 582,069,543.00/27,766
  6. Step 6: Final answer
    x = 20,963.39

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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.