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Finding the Fourth Proportional to 16,540.04, 24,814.11 and 8,223.98

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Solution

The fourth proportional to 16,540.04, 24,814.11 and 8,223.98 is: 12,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.04 : 24,814.11 = 8,223.98 : x
  2. Step 2: Convert to fraction form
    16,540.04/24,814.11 = 8,223.98/x
  3. Step 3: Cross multiply
    16,540.04x = 24,814.11 × 8,223.98
  4. Step 4: Simplify right side
    16,540.04x = 204,070,620.29
  5. Step 5: Solve for x
    x = 204,070,620.29/16,540.04
  6. Step 6: Final answer
    x = 12,337.98

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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.