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Finding the Fourth Proportional to 27,814, 38,383.32 and 15,239.04

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Solution

The fourth proportional to 27,814, 38,383.32 and 15,239.04 is: 21,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814 : 38,383.32 = 15,239.04 : x
  2. Step 2: Convert to fraction form
    27,814/38,383.32 = 15,239.04/x
  3. Step 3: Cross multiply
    27,814x = 38,383.32 × 15,239.04
  4. Step 4: Simplify right side
    27,814x = 584,924,948.81
  5. Step 5: Solve for x
    x = 584,924,948.81/27,814
  6. Step 6: Final answer
    x = 21,029.88

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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.