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Finding the Fourth Proportional to 16,410.16, 22,647 and 12,424.96

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Solution

The fourth proportional to 16,410.16, 22,647 and 12,424.96 is: 17,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.16 : 22,647 = 12,424.96 : x
  2. Step 2: Convert to fraction form
    16,410.16/22,647 = 12,424.96/x
  3. Step 3: Cross multiply
    16,410.16x = 22,647 × 12,424.96
  4. Step 4: Simplify right side
    16,410.16x = 281,388,069.12
  5. Step 5: Solve for x
    x = 281,388,069.12/16,410.16
  6. Step 6: Final answer
    x = 17,147.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.