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Finding the Fourth Proportional to 12,674.48, 17,494.38 and 7,639.11

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Solution

The fourth proportional to 12,674.48, 17,494.38 and 7,639.11 is: 10,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.48 : 17,494.38 = 7,639.11 : x
  2. Step 2: Convert to fraction form
    12,674.48/17,494.38 = 7,639.11/x
  3. Step 3: Cross multiply
    12,674.48x = 17,494.38 × 7,639.11
  4. Step 4: Simplify right side
    12,674.48x = 133,641,493.20
  5. Step 5: Solve for x
    x = 133,641,493.20/12,674.48
  6. Step 6: Final answer
    x = 10,544.14

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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.