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Finding the Fourth Proportional to 27,722.63, 38,257.22 and 15,147.38

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Solution

The fourth proportional to 27,722.63, 38,257.22 and 15,147.38 is: 20,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.63 : 38,257.22 = 15,147.38 : x
  2. Step 2: Convert to fraction form
    27,722.63/38,257.22 = 15,147.38/x
  3. Step 3: Cross multiply
    27,722.63x = 38,257.22 × 15,147.38
  4. Step 4: Simplify right side
    27,722.63x = 579,496,495.67
  5. Step 5: Solve for x
    x = 579,496,495.67/27,722.63
  6. Step 6: Final answer
    x = 20,903.38

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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.