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Finding the Fourth Proportional to 16,202.34, 24,302.70 and 6,343.43

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Solution

The fourth proportional to 16,202.34, 24,302.70 and 6,343.43 is: 9,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.34 : 24,302.70 = 6,343.43 : x
  2. Step 2: Convert to fraction form
    16,202.34/24,302.70 = 6,343.43/x
  3. Step 3: Cross multiply
    16,202.34x = 24,302.70 × 6,343.43
  4. Step 4: Simplify right side
    16,202.34x = 154,162,354.75
  5. Step 5: Solve for x
    x = 154,162,354.75/16,202.34
  6. Step 6: Final answer
    x = 9,514.82

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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.