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Finding the Fourth Proportional to 17,070.75, 25,609.77 and 6,682.50

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Solution

The fourth proportional to 17,070.75, 25,609.77 and 6,682.50 is: 10,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.75 : 25,609.77 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    17,070.75/25,609.77 = 6,682.50/x
  3. Step 3: Cross multiply
    17,070.75x = 25,609.77 × 6,682.50
  4. Step 4: Simplify right side
    17,070.75x = 171,137,288.03
  5. Step 5: Solve for x
    x = 171,137,288.03/17,070.75
  6. Step 6: Final answer
    x = 10,025.18

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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.