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Finding the Fourth Proportional to 27,768.63, 38,320.70 and 15,193.38

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Solution

The fourth proportional to 27,768.63, 38,320.70 and 15,193.38 is: 20,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.63 : 38,320.70 = 15,193.38 : x
  2. Step 2: Convert to fraction form
    27,768.63/38,320.70 = 15,193.38/x
  3. Step 3: Cross multiply
    27,768.63x = 38,320.70 × 15,193.38
  4. Step 4: Simplify right side
    27,768.63x = 582,220,803.35
  5. Step 5: Solve for x
    x = 582,220,803.35/27,768.63
  6. Step 6: Final answer
    x = 20,966.86

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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.