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Finding the Fourth Proportional to 16,309.68, 24,458.37 and 5,213.40

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Solution

The fourth proportional to 16,309.68, 24,458.37 and 5,213.40 is: 7,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.68 : 24,458.37 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    16,309.68/24,458.37 = 5,213.40/x
  3. Step 3: Cross multiply
    16,309.68x = 24,458.37 × 5,213.40
  4. Step 4: Simplify right side
    16,309.68x = 127,511,266.16
  5. Step 5: Solve for x
    x = 127,511,266.16/16,309.68
  6. Step 6: Final answer
    x = 7,818.13

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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.