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Finding the Fourth Proportional to 12,677.83, 17,496.87 and 7,644.62

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Solution

The fourth proportional to 12,677.83, 17,496.87 and 7,644.62 is: 10,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.83 : 17,496.87 = 7,644.62 : x
  2. Step 2: Convert to fraction form
    12,677.83/17,496.87 = 7,644.62/x
  3. Step 3: Cross multiply
    12,677.83x = 17,496.87 × 7,644.62
  4. Step 4: Simplify right side
    12,677.83x = 133,756,922.34
  5. Step 5: Solve for x
    x = 133,756,922.34/12,677.83
  6. Step 6: Final answer
    x = 10,550.46

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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.