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Finding the Fourth Proportional to 12,395.39, 17,082.56 and 8,416.67

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Solution

The fourth proportional to 12,395.39, 17,082.56 and 8,416.67 is: 11,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.39 : 17,082.56 = 8,416.67 : x
  2. Step 2: Convert to fraction form
    12,395.39/17,082.56 = 8,416.67/x
  3. Step 3: Cross multiply
    12,395.39x = 17,082.56 × 8,416.67
  4. Step 4: Simplify right side
    12,395.39x = 143,778,205.90
  5. Step 5: Solve for x
    x = 143,778,205.90/12,395.39
  6. Step 6: Final answer
    x = 11,599.33

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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.