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Finding the Fourth Proportional to 17,120.41, 25,669.00 and 6,025.64

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Solution

The fourth proportional to 17,120.41, 25,669.00 and 6,025.64 is: 9,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.41 : 25,669.00 = 6,025.64 : x
  2. Step 2: Convert to fraction form
    17,120.41/25,669.00 = 6,025.64/x
  3. Step 3: Cross multiply
    17,120.41x = 25,669.00 × 6,025.64
  4. Step 4: Simplify right side
    17,120.41x = 154,672,176.74
  5. Step 5: Solve for x
    x = 154,672,176.74/17,120.41
  6. Step 6: Final answer
    x = 9,034.37

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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.