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Finding the Fourth Proportional to 27,806.52, 41,683.86 and 13,939.32

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Solution

The fourth proportional to 27,806.52, 41,683.86 and 13,939.32 is: 20,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.52 : 41,683.86 = 13,939.32 : x
  2. Step 2: Convert to fraction form
    27,806.52/41,683.86 = 13,939.32/x
  3. Step 3: Cross multiply
    27,806.52x = 41,683.86 × 13,939.32
  4. Step 4: Simplify right side
    27,806.52x = 581,044,663.38
  5. Step 5: Solve for x
    x = 581,044,663.38/27,806.52
  6. Step 6: Final answer
    x = 20,895.99

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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.