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Finding the Fourth Proportional to 18,378.19, 27,576.40 and 7,284.64

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Solution

The fourth proportional to 18,378.19, 27,576.40 and 7,284.64 is: 10,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.19 : 27,576.40 = 7,284.64 : x
  2. Step 2: Convert to fraction form
    18,378.19/27,576.40 = 7,284.64/x
  3. Step 3: Cross multiply
    18,378.19x = 27,576.40 × 7,284.64
  4. Step 4: Simplify right side
    18,378.19x = 200,884,146.50
  5. Step 5: Solve for x
    x = 200,884,146.50/18,378.19
  6. Step 6: Final answer
    x = 10,930.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.