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Finding the Fourth Proportional to 16,536.36, 24,806.12 and 5,443.14

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Solution

The fourth proportional to 16,536.36, 24,806.12 and 5,443.14 is: 8,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.36 : 24,806.12 = 5,443.14 : x
  2. Step 2: Convert to fraction form
    16,536.36/24,806.12 = 5,443.14/x
  3. Step 3: Cross multiply
    16,536.36x = 24,806.12 × 5,443.14
  4. Step 4: Simplify right side
    16,536.36x = 135,023,184.02
  5. Step 5: Solve for x
    x = 135,023,184.02/16,536.36
  6. Step 6: Final answer
    x = 8,165.23

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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.