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Finding the Fourth Proportional to 17,124, 25,674.48 and 7,884.96

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Solution

The fourth proportional to 17,124, 25,674.48 and 7,884.96 is: 11,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124 : 25,674.48 = 7,884.96 : x
  2. Step 2: Convert to fraction form
    17,124/25,674.48 = 7,884.96/x
  3. Step 3: Cross multiply
    17,124x = 25,674.48 × 7,884.96
  4. Step 4: Simplify right side
    17,124x = 202,442,247.82
  5. Step 5: Solve for x
    x = 202,442,247.82/17,124
  6. Step 6: Final answer
    x = 11,822.14

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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.