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Finding the Fourth Proportional to 18,482.14, 27,725.51 and 7,236.02

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Solution

The fourth proportional to 18,482.14, 27,725.51 and 7,236.02 is: 10,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,482.14 : 27,725.51 = 7,236.02 : x
  2. Step 2: Convert to fraction form
    18,482.14/27,725.51 = 7,236.02/x
  3. Step 3: Cross multiply
    18,482.14x = 27,725.51 × 7,236.02
  4. Step 4: Simplify right side
    18,482.14x = 200,622,405.14
  5. Step 5: Solve for x
    x = 200,622,405.14/18,482.14
  6. Step 6: Final answer
    x = 10,854.94

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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.