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Finding the Fourth Proportional to 27,986.80, 41,994.96 and 12,406

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Solution

The fourth proportional to 27,986.80, 41,994.96 and 12,406 is: 18,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.80 : 41,994.96 = 12,406 : x
  2. Step 2: Convert to fraction form
    27,986.80/41,994.96 = 12,406/x
  3. Step 3: Cross multiply
    27,986.80x = 41,994.96 × 12,406
  4. Step 4: Simplify right side
    27,986.80x = 520,989,473.76
  5. Step 5: Solve for x
    x = 520,989,473.76/27,986.80
  6. Step 6: Final answer
    x = 18,615.54

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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.