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Finding the Fourth Proportional to 16,344.44, 24,495.14 and 6,478.34

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Solution

The fourth proportional to 16,344.44, 24,495.14 and 6,478.34 is: 9,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.44 : 24,495.14 = 6,478.34 : x
  2. Step 2: Convert to fraction form
    16,344.44/24,495.14 = 6,478.34/x
  3. Step 3: Cross multiply
    16,344.44x = 24,495.14 × 6,478.34
  4. Step 4: Simplify right side
    16,344.44x = 158,687,845.27
  5. Step 5: Solve for x
    x = 158,687,845.27/16,344.44
  6. Step 6: Final answer
    x = 9,708.98

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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.