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Finding the Fourth Proportional to 22,975.31, 31,676.86 and 15,004.91

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Solution

The fourth proportional to 22,975.31, 31,676.86 and 15,004.91 is: 20,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.31 : 31,676.86 = 15,004.91 : x
  2. Step 2: Convert to fraction form
    22,975.31/31,676.86 = 15,004.91/x
  3. Step 3: Cross multiply
    22,975.31x = 31,676.86 × 15,004.91
  4. Step 4: Simplify right side
    22,975.31x = 475,308,433.38
  5. Step 5: Solve for x
    x = 475,308,433.38/22,975.31
  6. Step 6: Final answer
    x = 20,687.79

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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.