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Finding the Fourth Proportional to 12,693, 17,516.49 and 7,027.86

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Solution

The fourth proportional to 12,693, 17,516.49 and 7,027.86 is: 9,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693 : 17,516.49 = 7,027.86 : x
  2. Step 2: Convert to fraction form
    12,693/17,516.49 = 7,027.86/x
  3. Step 3: Cross multiply
    12,693x = 17,516.49 × 7,027.86
  4. Step 4: Simplify right side
    12,693x = 123,103,439.41
  5. Step 5: Solve for x
    x = 123,103,439.41/12,693
  6. Step 6: Final answer
    x = 9,698.53

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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.