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Finding the Fourth Proportional to 23,559.20, 32,512.20 and 12,949

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Solution

The fourth proportional to 23,559.20, 32,512.20 and 12,949 is: 17,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559.20 : 32,512.20 = 12,949 : x
  2. Step 2: Convert to fraction form
    23,559.20/32,512.20 = 12,949/x
  3. Step 3: Cross multiply
    23,559.20x = 32,512.20 × 12,949
  4. Step 4: Simplify right side
    23,559.20x = 421,000,477.80
  5. Step 5: Solve for x
    x = 421,000,477.80/23,559.20
  6. Step 6: Final answer
    x = 17,869.90

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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.