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Finding the Fourth Proportional to 27,738, 38,278.44 and 15,162.84

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Solution

The fourth proportional to 27,738, 38,278.44 and 15,162.84 is: 20,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738 : 38,278.44 = 15,162.84 : x
  2. Step 2: Convert to fraction form
    27,738/38,278.44 = 15,162.84/x
  3. Step 3: Cross multiply
    27,738x = 38,278.44 × 15,162.84
  4. Step 4: Simplify right side
    27,738x = 580,409,861.17
  5. Step 5: Solve for x
    x = 580,409,861.17/27,738
  6. Step 6: Final answer
    x = 20,924.72

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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.