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Finding the Fourth Proportional to 23,153.37, 31,951.44 and 12,542.37

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Solution

The fourth proportional to 23,153.37, 31,951.44 and 12,542.37 is: 17,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.37 : 31,951.44 = 12,542.37 : x
  2. Step 2: Convert to fraction form
    23,153.37/31,951.44 = 12,542.37/x
  3. Step 3: Cross multiply
    23,153.37x = 31,951.44 × 12,542.37
  4. Step 4: Simplify right side
    23,153.37x = 400,746,782.51
  5. Step 5: Solve for x
    x = 400,746,782.51/23,153.37
  6. Step 6: Final answer
    x = 17,308.36

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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.