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Finding the Fourth Proportional to 12,486.71, 17,230.98 and 7,181.16

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Solution

The fourth proportional to 12,486.71, 17,230.98 and 7,181.16 is: 9,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.71 : 17,230.98 = 7,181.16 : x
  2. Step 2: Convert to fraction form
    12,486.71/17,230.98 = 7,181.16/x
  3. Step 3: Cross multiply
    12,486.71x = 17,230.98 × 7,181.16
  4. Step 4: Simplify right side
    12,486.71x = 123,738,346.26
  5. Step 5: Solve for x
    x = 123,738,346.26/12,486.71
  6. Step 6: Final answer
    x = 9,909.61

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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.