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Finding the Fourth Proportional to 12,486.25, 17,230.85 and 6,820.93

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Solution

The fourth proportional to 12,486.25, 17,230.85 and 6,820.93 is: 9,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.25 : 17,230.85 = 6,820.93 : x
  2. Step 2: Convert to fraction form
    12,486.25/17,230.85 = 6,820.93/x
  3. Step 3: Cross multiply
    12,486.25x = 17,230.85 × 6,820.93
  4. Step 4: Simplify right side
    12,486.25x = 117,530,387.59
  5. Step 5: Solve for x
    x = 117,530,387.59/12,486.25
  6. Step 6: Final answer
    x = 9,412.79

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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.