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Finding the Fourth Proportional to 18,097.25, 27,142.83 and 4,947.30

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Solution

The fourth proportional to 18,097.25, 27,142.83 and 4,947.30 is: 7,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.25 : 27,142.83 = 4,947.30 : x
  2. Step 2: Convert to fraction form
    18,097.25/27,142.83 = 4,947.30/x
  3. Step 3: Cross multiply
    18,097.25x = 27,142.83 × 4,947.30
  4. Step 4: Simplify right side
    18,097.25x = 134,283,722.86
  5. Step 5: Solve for x
    x = 134,283,722.86/18,097.25
  6. Step 6: Final answer
    x = 7,420.12

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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.