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Finding the Fourth Proportional to 18,527.40, 27,766.53 and 9,768.51

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Solution

The fourth proportional to 18,527.40, 27,766.53 and 9,768.51 is: 14,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.40 : 27,766.53 = 9,768.51 : x
  2. Step 2: Convert to fraction form
    18,527.40/27,766.53 = 9,768.51/x
  3. Step 3: Cross multiply
    18,527.40x = 27,766.53 × 9,768.51
  4. Step 4: Simplify right side
    18,527.40x = 271,237,625.97
  5. Step 5: Solve for x
    x = 271,237,625.97/18,527.40
  6. Step 6: Final answer
    x = 14,639.81

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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.