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Finding the Fourth Proportional to 16,537.14, 24,809.36 and 5,447.30

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Solution

The fourth proportional to 16,537.14, 24,809.36 and 5,447.30 is: 8,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.14 : 24,809.36 = 5,447.30 : x
  2. Step 2: Convert to fraction form
    16,537.14/24,809.36 = 5,447.30/x
  3. Step 3: Cross multiply
    16,537.14x = 24,809.36 × 5,447.30
  4. Step 4: Simplify right side
    16,537.14x = 135,143,875.44
  5. Step 5: Solve for x
    x = 135,143,875.44/16,537.14
  6. Step 6: Final answer
    x = 8,172.14

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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.