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Finding the Fourth Proportional to 23,456.73, 32,369.08 and 12,844.31

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Solution

The fourth proportional to 23,456.73, 32,369.08 and 12,844.31 is: 17,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.73 : 32,369.08 = 12,844.31 : x
  2. Step 2: Convert to fraction form
    23,456.73/32,369.08 = 12,844.31/x
  3. Step 3: Cross multiply
    23,456.73x = 32,369.08 × 12,844.31
  4. Step 4: Simplify right side
    23,456.73x = 415,758,425.36
  5. Step 5: Solve for x
    x = 415,758,425.36/23,456.73
  6. Step 6: Final answer
    x = 17,724.49

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1.5x scale

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.