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Finding the Fourth Proportional to 16,540.96, 24,810.48 and 4,228

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Solution

The fourth proportional to 16,540.96, 24,810.48 and 4,228 is: 6,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.96 : 24,810.48 = 4,228 : x
  2. Step 2: Convert to fraction form
    16,540.96/24,810.48 = 4,228/x
  3. Step 3: Cross multiply
    16,540.96x = 24,810.48 × 4,228
  4. Step 4: Simplify right side
    16,540.96x = 104,898,709.44
  5. Step 5: Solve for x
    x = 104,898,709.44/16,540.96
  6. Step 6: Final answer
    x = 6,341.75

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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.