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Finding the Fourth Proportional to 18,409.14, 27,594 and 7,300.44

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Solution

The fourth proportional to 18,409.14, 27,594 and 7,300.44 is: 10,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.14 : 27,594 = 7,300.44 : x
  2. Step 2: Convert to fraction form
    18,409.14/27,594 = 7,300.44/x
  3. Step 3: Cross multiply
    18,409.14x = 27,594 × 7,300.44
  4. Step 4: Simplify right side
    18,409.14x = 201,448,341.36
  5. Step 5: Solve for x
    x = 201,448,341.36/18,409.14
  6. Step 6: Final answer
    x = 10,942.84

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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.