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Finding the Fourth Proportional to 18,527.64, 27,791.46 and 6,838.13

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Solution

The fourth proportional to 18,527.64, 27,791.46 and 6,838.13 is: 10,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.64 : 27,791.46 = 6,838.13 : x
  2. Step 2: Convert to fraction form
    18,527.64/27,791.46 = 6,838.13/x
  3. Step 3: Cross multiply
    18,527.64x = 27,791.46 × 6,838.13
  4. Step 4: Simplify right side
    18,527.64x = 190,041,477.41
  5. Step 5: Solve for x
    x = 190,041,477.41/18,527.64
  6. Step 6: Final answer
    x = 10,257.19

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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.