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Finding the Fourth Proportional to 17,153.92, 23,674.08 and 12,377.80

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Solution

The fourth proportional to 17,153.92, 23,674.08 and 12,377.80 is: 17,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.92 : 23,674.08 = 12,377.80 : x
  2. Step 2: Convert to fraction form
    17,153.92/23,674.08 = 12,377.80/x
  3. Step 3: Cross multiply
    17,153.92x = 23,674.08 × 12,377.80
  4. Step 4: Simplify right side
    17,153.92x = 293,033,027.42
  5. Step 5: Solve for x
    x = 293,033,027.42/17,153.92
  6. Step 6: Final answer
    x = 17,082.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.