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Finding the Fourth Proportional to 16,820.96, 25,212.58 and 6,823.38

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Solution

The fourth proportional to 16,820.96, 25,212.58 and 6,823.38 is: 10,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.96 : 25,212.58 = 6,823.38 : x
  2. Step 2: Convert to fraction form
    16,820.96/25,212.58 = 6,823.38/x
  3. Step 3: Cross multiply
    16,820.96x = 25,212.58 × 6,823.38
  4. Step 4: Simplify right side
    16,820.96x = 172,035,014.12
  5. Step 5: Solve for x
    x = 172,035,014.12/16,820.96
  6. Step 6: Final answer
    x = 10,227.42

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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.