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Finding the Fourth Proportional to 23,456.48, 32,370 and 12,846.80

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Solution

The fourth proportional to 23,456.48, 32,370 and 12,846.80 is: 17,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.48 : 32,370 = 12,846.80 : x
  2. Step 2: Convert to fraction form
    23,456.48/32,370 = 12,846.80/x
  3. Step 3: Cross multiply
    23,456.48x = 32,370 × 12,846.80
  4. Step 4: Simplify right side
    23,456.48x = 415,850,916
  5. Step 5: Solve for x
    x = 415,850,916/23,456.48
  6. Step 6: Final answer
    x = 17,728.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.