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Finding the Fourth Proportional to 23,257, 32,093.85 and 12,646.45

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Solution

The fourth proportional to 23,257, 32,093.85 and 12,646.45 is: 17,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257 : 32,093.85 = 12,646.45 : x
  2. Step 2: Convert to fraction form
    23,257/32,093.85 = 12,646.45/x
  3. Step 3: Cross multiply
    23,257x = 32,093.85 × 12,646.45
  4. Step 4: Simplify right side
    23,257x = 405,873,269.33
  5. Step 5: Solve for x
    x = 405,873,269.33/23,257
  6. Step 6: Final answer
    x = 17,451.66

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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.