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Finding the Fourth Proportional to 21,678.96, 32,538.60 and 8,540.40

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Solution

The fourth proportional to 21,678.96, 32,538.60 and 8,540.40 is: 12,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.96 : 32,538.60 = 8,540.40 : x
  2. Step 2: Convert to fraction form
    21,678.96/32,538.60 = 8,540.40/x
  3. Step 3: Cross multiply
    21,678.96x = 32,538.60 × 8,540.40
  4. Step 4: Simplify right side
    21,678.96x = 277,892,659.44
  5. Step 5: Solve for x
    x = 277,892,659.44/21,678.96
  6. Step 6: Final answer
    x = 12,818.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.