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Finding the Fourth Proportional to 27,538.63, 38,003.61 and 14,963.38

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Solution

The fourth proportional to 27,538.63, 38,003.61 and 14,963.38 is: 20,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.63 : 38,003.61 = 14,963.38 : x
  2. Step 2: Convert to fraction form
    27,538.63/38,003.61 = 14,963.38/x
  3. Step 3: Cross multiply
    27,538.63x = 38,003.61 × 14,963.38
  4. Step 4: Simplify right side
    27,538.63x = 568,662,457.80
  5. Step 5: Solve for x
    x = 568,662,457.80/27,538.63
  6. Step 6: Final answer
    x = 20,649.63

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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.