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Finding the Fourth Proportional to 18,458.94, 27,668.97 and 9,205.50

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Solution

The fourth proportional to 18,458.94, 27,668.97 and 9,205.50 is: 13,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458.94 : 27,668.97 = 9,205.50 : x
  2. Step 2: Convert to fraction form
    18,458.94/27,668.97 = 9,205.50/x
  3. Step 3: Cross multiply
    18,458.94x = 27,668.97 × 9,205.50
  4. Step 4: Simplify right side
    18,458.94x = 254,706,703.34
  5. Step 5: Solve for x
    x = 254,706,703.34/18,458.94
  6. Step 6: Final answer
    x = 13,798.56

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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.