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Finding the Fourth Proportional to 16,344.21, 24,494.76 and 6,478.09

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Solution

The fourth proportional to 16,344.21, 24,494.76 and 6,478.09 is: 9,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.21 : 24,494.76 = 6,478.09 : x
  2. Step 2: Convert to fraction form
    16,344.21/24,494.76 = 6,478.09/x
  3. Step 3: Cross multiply
    16,344.21x = 24,494.76 × 6,478.09
  4. Step 4: Simplify right side
    16,344.21x = 158,679,259.81
  5. Step 5: Solve for x
    x = 158,679,259.81/16,344.21
  6. Step 6: Final answer
    x = 9,708.59

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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.