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Finding the Fourth Proportional to 22,576, 31,153.92 and 12,504.40

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Solution

The fourth proportional to 22,576, 31,153.92 and 12,504.40 is: 17,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576 : 31,153.92 = 12,504.40 : x
  2. Step 2: Convert to fraction form
    22,576/31,153.92 = 12,504.40/x
  3. Step 3: Cross multiply
    22,576x = 31,153.92 × 12,504.40
  4. Step 4: Simplify right side
    22,576x = 389,561,077.25
  5. Step 5: Solve for x
    x = 389,561,077.25/22,576
  6. Step 6: Final answer
    x = 17,255.54

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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.