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Finding the Fourth Proportional to 12,693, 17,515.94 and 7,027.56

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Solution

The fourth proportional to 12,693, 17,515.94 and 7,027.56 is: 9,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693 : 17,515.94 = 7,027.56 : x
  2. Step 2: Convert to fraction form
    12,693/17,515.94 = 7,027.56/x
  3. Step 3: Cross multiply
    12,693x = 17,515.94 × 7,027.56
  4. Step 4: Simplify right side
    12,693x = 123,094,319.31
  5. Step 5: Solve for x
    x = 123,094,319.31/12,693
  6. Step 6: Final answer
    x = 9,697.81

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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.