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Finding the Fourth Proportional to 23,144, 31,938.66 and 12,533.60

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Solution

The fourth proportional to 23,144, 31,938.66 and 12,533.60 is: 17,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 31,938.66 = 12,533.60 : x
  2. Step 2: Convert to fraction form
    23,144/31,938.66 = 12,533.60/x
  3. Step 3: Cross multiply
    23,144x = 31,938.66 × 12,533.60
  4. Step 4: Simplify right side
    23,144x = 400,306,388.98
  5. Step 5: Solve for x
    x = 400,306,388.98/23,144
  6. Step 6: Final answer
    x = 17,296.34

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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.