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Finding the Fourth Proportional to 12,685.53, 17,505.77 and 7,020.27

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Solution

The fourth proportional to 12,685.53, 17,505.77 and 7,020.27 is: 9,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.53 : 17,505.77 = 7,020.27 : x
  2. Step 2: Convert to fraction form
    12,685.53/17,505.77 = 7,020.27/x
  3. Step 3: Cross multiply
    12,685.53x = 17,505.77 × 7,020.27
  4. Step 4: Simplify right side
    12,685.53x = 122,895,196.86
  5. Step 5: Solve for x
    x = 122,895,196.86/12,685.53
  6. Step 6: Final answer
    x = 9,687.83

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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.