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Finding the Fourth Proportional to 16,343.96, 24,524.21 and 7,458.30

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Solution

The fourth proportional to 16,343.96, 24,524.21 and 7,458.30 is: 11,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.96 : 24,524.21 = 7,458.30 : x
  2. Step 2: Convert to fraction form
    16,343.96/24,524.21 = 7,458.30/x
  3. Step 3: Cross multiply
    16,343.96x = 24,524.21 × 7,458.30
  4. Step 4: Simplify right side
    16,343.96x = 182,908,934.09
  5. Step 5: Solve for x
    x = 182,908,934.09/16,343.96
  6. Step 6: Final answer
    x = 11,191.23

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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.