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Finding the Fourth Proportional to 12,368.30, 17,082.35 and 8,382.49

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Solution

The fourth proportional to 12,368.30, 17,082.35 and 8,382.49 is: 11,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.30 : 17,082.35 = 8,382.49 : x
  2. Step 2: Convert to fraction form
    12,368.30/17,082.35 = 8,382.49/x
  3. Step 3: Cross multiply
    12,368.30x = 17,082.35 × 8,382.49
  4. Step 4: Simplify right side
    12,368.30x = 143,192,628.05
  5. Step 5: Solve for x
    x = 143,192,628.05/12,368.30
  6. Step 6: Final answer
    x = 11,577.39

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Why These Related Problems?

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