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Finding the Fourth Proportional to 27,709.80, 38,230.04 and 15,770.15

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Solution

The fourth proportional to 27,709.80, 38,230.04 and 15,770.15 is: 21,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.80 : 38,230.04 = 15,770.15 : x
  2. Step 2: Convert to fraction form
    27,709.80/38,230.04 = 15,770.15/x
  3. Step 3: Cross multiply
    27,709.80x = 38,230.04 × 15,770.15
  4. Step 4: Simplify right side
    27,709.80x = 602,893,465.31
  5. Step 5: Solve for x
    x = 602,893,465.31/27,709.80
  6. Step 6: Final answer
    x = 21,757.41

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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.