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Finding the Fourth Proportional to 12,662.14, 17,472.85 and 6,996.83

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Solution

The fourth proportional to 12,662.14, 17,472.85 and 6,996.83 is: 9,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.14 : 17,472.85 = 6,996.83 : x
  2. Step 2: Convert to fraction form
    12,662.14/17,472.85 = 6,996.83/x
  3. Step 3: Cross multiply
    12,662.14x = 17,472.85 × 6,996.83
  4. Step 4: Simplify right side
    12,662.14x = 122,254,495.57
  5. Step 5: Solve for x
    x = 122,254,495.57/12,662.14
  6. Step 6: Final answer
    x = 9,655.12

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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.