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Finding the Fourth Proportional to 27,347.63, 37,739.76 and 14,772.38

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Solution

The fourth proportional to 27,347.63, 37,739.76 and 14,772.38 is: 20,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.63 : 37,739.76 = 14,772.38 : x
  2. Step 2: Convert to fraction form
    27,347.63/37,739.76 = 14,772.38/x
  3. Step 3: Cross multiply
    27,347.63x = 37,739.76 × 14,772.38
  4. Step 4: Simplify right side
    27,347.63x = 557,505,813.27
  5. Step 5: Solve for x
    x = 557,505,813.27/27,347.63
  6. Step 6: Final answer
    x = 20,385.90

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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.