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Finding the Fourth Proportional to 23,466.85, 32,382.39 and 12,856.39

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Solution

The fourth proportional to 23,466.85, 32,382.39 and 12,856.39 is: 17,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.85 : 32,382.39 = 12,856.39 : x
  2. Step 2: Convert to fraction form
    23,466.85/32,382.39 = 12,856.39/x
  3. Step 3: Cross multiply
    23,466.85x = 32,382.39 × 12,856.39
  4. Step 4: Simplify right side
    23,466.85x = 416,320,634.97
  5. Step 5: Solve for x
    x = 416,320,634.97/23,466.85
  6. Step 6: Final answer
    x = 17,740.80

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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.