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Finding the Fourth Proportional to 27,760, 38,308.80 and 15,184.75

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Solution

The fourth proportional to 27,760, 38,308.80 and 15,184.75 is: 20,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760 : 38,308.80 = 15,184.75 : x
  2. Step 2: Convert to fraction form
    27,760/38,308.80 = 15,184.75/x
  3. Step 3: Cross multiply
    27,760x = 38,308.80 × 15,184.75
  4. Step 4: Simplify right side
    27,760x = 581,709,550.80
  5. Step 5: Solve for x
    x = 581,709,550.80/27,760
  6. Step 6: Final answer
    x = 20,954.96

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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.