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Finding the Fourth Proportional to 12,773.49, 19,132.54 and 6,185.86

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Solution

The fourth proportional to 12,773.49, 19,132.54 and 6,185.86 is: 9,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.49 : 19,132.54 = 6,185.86 : x
  2. Step 2: Convert to fraction form
    12,773.49/19,132.54 = 6,185.86/x
  3. Step 3: Cross multiply
    12,773.49x = 19,132.54 × 6,185.86
  4. Step 4: Simplify right side
    12,773.49x = 118,351,150.59
  5. Step 5: Solve for x
    x = 118,351,150.59/12,773.49
  6. Step 6: Final answer
    x = 9,265.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.