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Finding the Fourth Proportional to 12,381.13, 17,087.14 and 7,074.92

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Solution

The fourth proportional to 12,381.13, 17,087.14 and 7,074.92 is: 9,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.13 : 17,087.14 = 7,074.92 : x
  2. Step 2: Convert to fraction form
    12,381.13/17,087.14 = 7,074.92/x
  3. Step 3: Cross multiply
    12,381.13x = 17,087.14 × 7,074.92
  4. Step 4: Simplify right side
    12,381.13x = 120,890,200.09
  5. Step 5: Solve for x
    x = 120,890,200.09/12,381.13
  6. Step 6: Final answer
    x = 9,764.07

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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.