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Finding the Fourth Proportional to 27,779.88, 38,336.23 and 15,204.63

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Solution

The fourth proportional to 27,779.88, 38,336.23 and 15,204.63 is: 20,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779.88 : 38,336.23 = 15,204.63 : x
  2. Step 2: Convert to fraction form
    27,779.88/38,336.23 = 15,204.63/x
  3. Step 3: Cross multiply
    27,779.88x = 38,336.23 × 15,204.63
  4. Step 4: Simplify right side
    27,779.88x = 582,887,963.05
  5. Step 5: Solve for x
    x = 582,887,963.05/27,779.88
  6. Step 6: Final answer
    x = 20,982.38

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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.