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Finding the Fourth Proportional to 27,813.11, 41,726.71 and 8,091.63

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Solution

The fourth proportional to 27,813.11, 41,726.71 and 8,091.63 is: 12,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.11 : 41,726.71 = 8,091.63 : x
  2. Step 2: Convert to fraction form
    27,813.11/41,726.71 = 8,091.63/x
  3. Step 3: Cross multiply
    27,813.11x = 41,726.71 × 8,091.63
  4. Step 4: Simplify right side
    27,813.11x = 337,637,108.55
  5. Step 5: Solve for x
    x = 337,637,108.55/27,813.11
  6. Step 6: Final answer
    x = 12,139.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.