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Finding the Fourth Proportional to 17,072.16, 23,551.20 and 11,408.30

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Solution

The fourth proportional to 17,072.16, 23,551.20 and 11,408.30 is: 15,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072.16 : 23,551.20 = 11,408.30 : x
  2. Step 2: Convert to fraction form
    17,072.16/23,551.20 = 11,408.30/x
  3. Step 3: Cross multiply
    17,072.16x = 23,551.20 × 11,408.30
  4. Step 4: Simplify right side
    17,072.16x = 268,679,037.20
  5. Step 5: Solve for x
    x = 268,679,037.20/17,072.16
  6. Step 6: Final answer
    x = 15,737.85

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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.