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Finding the Fourth Proportional to 27,780.65, 38,327.77 and 15,835.37

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Solution

The fourth proportional to 27,780.65, 38,327.77 and 15,835.37 is: 21,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.65 : 38,327.77 = 15,835.37 : x
  2. Step 2: Convert to fraction form
    27,780.65/38,327.77 = 15,835.37/x
  3. Step 3: Cross multiply
    27,780.65x = 38,327.77 × 15,835.37
  4. Step 4: Simplify right side
    27,780.65x = 606,934,340.05
  5. Step 5: Solve for x
    x = 606,934,340.05/27,780.65
  6. Step 6: Final answer
    x = 21,847.38

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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.