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Finding the Fourth Proportional to 22,533.72, 31,096.36 and 12,462.59

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Solution

The fourth proportional to 22,533.72, 31,096.36 and 12,462.59 is: 17,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.72 : 31,096.36 = 12,462.59 : x
  2. Step 2: Convert to fraction form
    22,533.72/31,096.36 = 12,462.59/x
  3. Step 3: Cross multiply
    22,533.72x = 31,096.36 × 12,462.59
  4. Step 4: Simplify right side
    22,533.72x = 387,540,967.38
  5. Step 5: Solve for x
    x = 387,540,967.38/22,533.72
  6. Step 6: Final answer
    x = 17,198.27

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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.