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Finding the Fourth Proportional to 17,096.46, 25,642.12 and 5,408.16

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Solution

The fourth proportional to 17,096.46, 25,642.12 and 5,408.16 is: 8,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.46 : 25,642.12 = 5,408.16 : x
  2. Step 2: Convert to fraction form
    17,096.46/25,642.12 = 5,408.16/x
  3. Step 3: Cross multiply
    17,096.46x = 25,642.12 × 5,408.16
  4. Step 4: Simplify right side
    17,096.46x = 138,676,588.16
  5. Step 5: Solve for x
    x = 138,676,588.16/17,096.46
  6. Step 6: Final answer
    x = 8,111.42

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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.