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Finding the Fourth Proportional to 18,256.40, 27,384.83 and 6,409.70

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Solution

The fourth proportional to 18,256.40, 27,384.83 and 6,409.70 is: 9,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.40 : 27,384.83 = 6,409.70 : x
  2. Step 2: Convert to fraction form
    18,256.40/27,384.83 = 6,409.70/x
  3. Step 3: Cross multiply
    18,256.40x = 27,384.83 × 6,409.70
  4. Step 4: Simplify right side
    18,256.40x = 175,528,544.85
  5. Step 5: Solve for x
    x = 175,528,544.85/18,256.40
  6. Step 6: Final answer
    x = 9,614.63

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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.