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Finding the Fourth Proportional to 16,821.96, 25,214.08 and 6,824.38

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Solution

The fourth proportional to 16,821.96, 25,214.08 and 6,824.38 is: 10,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.96 : 25,214.08 = 6,824.38 : x
  2. Step 2: Convert to fraction form
    16,821.96/25,214.08 = 6,824.38/x
  3. Step 3: Cross multiply
    16,821.96x = 25,214.08 × 6,824.38
  4. Step 4: Simplify right side
    16,821.96x = 172,070,463.27
  5. Step 5: Solve for x
    x = 172,070,463.27/16,821.96
  6. Step 6: Final answer
    x = 10,228.92

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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.