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Finding the Fourth Proportional to 18,142.25, 27,206.37 and 7,047.47

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Solution

The fourth proportional to 18,142.25, 27,206.37 and 7,047.47 is: 10,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.25 : 27,206.37 = 7,047.47 : x
  2. Step 2: Convert to fraction form
    18,142.25/27,206.37 = 7,047.47/x
  3. Step 3: Cross multiply
    18,142.25x = 27,206.37 × 7,047.47
  4. Step 4: Simplify right side
    18,142.25x = 191,736,144.40
  5. Step 5: Solve for x
    x = 191,736,144.40/18,142.25
  6. Step 6: Final answer
    x = 10,568.49

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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.