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Finding the Fourth Proportional to 27,738.38, 38,274.54 and 15,801.96

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Solution

The fourth proportional to 27,738.38, 38,274.54 and 15,801.96 is: 21,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.38 : 38,274.54 = 15,801.96 : x
  2. Step 2: Convert to fraction form
    27,738.38/38,274.54 = 15,801.96/x
  3. Step 3: Cross multiply
    27,738.38x = 38,274.54 × 15,801.96
  4. Step 4: Simplify right side
    27,738.38x = 604,812,750.10
  5. Step 5: Solve for x
    x = 604,812,750.10/27,738.38
  6. Step 6: Final answer
    x = 21,804.18

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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.