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Finding the Fourth Proportional to 27,965.76, 38,591.80 and 15,390.48

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Solution

The fourth proportional to 27,965.76, 38,591.80 and 15,390.48 is: 21,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.76 : 38,591.80 = 15,390.48 : x
  2. Step 2: Convert to fraction form
    27,965.76/38,591.80 = 15,390.48/x
  3. Step 3: Cross multiply
    27,965.76x = 38,591.80 × 15,390.48
  4. Step 4: Simplify right side
    27,965.76x = 593,946,326.06
  5. Step 5: Solve for x
    x = 593,946,326.06/27,965.76
  6. Step 6: Final answer
    x = 21,238.34

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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.