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Finding the Fourth Proportional to 27,670.37, 38,182.53 and 15,731.37

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Solution

The fourth proportional to 27,670.37, 38,182.53 and 15,731.37 is: 21,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.37 : 38,182.53 = 15,731.37 : x
  2. Step 2: Convert to fraction form
    27,670.37/38,182.53 = 15,731.37/x
  3. Step 3: Cross multiply
    27,670.37x = 38,182.53 × 15,731.37
  4. Step 4: Simplify right side
    27,670.37x = 600,663,506.97
  5. Step 5: Solve for x
    x = 600,663,506.97/27,670.37
  6. Step 6: Final answer
    x = 21,707.83

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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.