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Finding the Fourth Proportional to 27,676.27, 38,193.69 and 15,737.68

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Solution

The fourth proportional to 27,676.27, 38,193.69 and 15,737.68 is: 21,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.27 : 38,193.69 = 15,737.68 : x
  2. Step 2: Convert to fraction form
    27,676.27/38,193.69 = 15,737.68/x
  3. Step 3: Cross multiply
    27,676.27x = 38,193.69 × 15,737.68
  4. Step 4: Simplify right side
    27,676.27x = 601,080,071.24
  5. Step 5: Solve for x
    x = 601,080,071.24/27,676.27
  6. Step 6: Final answer
    x = 21,718.25

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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.