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Finding the Fourth Proportional to 17,184.56, 25,771.35 and 5,495

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Solution

The fourth proportional to 17,184.56, 25,771.35 and 5,495 is: 8,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.56 : 25,771.35 = 5,495 : x
  2. Step 2: Convert to fraction form
    17,184.56/25,771.35 = 5,495/x
  3. Step 3: Cross multiply
    17,184.56x = 25,771.35 × 5,495
  4. Step 4: Simplify right side
    17,184.56x = 141,613,568.25
  5. Step 5: Solve for x
    x = 141,613,568.25/17,184.56
  6. Step 6: Final answer
    x = 8,240.74

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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.