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Finding the Fourth Proportional to 13,638.18, 18,819.63 and 7,668.69

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Solution

The fourth proportional to 13,638.18, 18,819.63 and 7,668.69 is: 10,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.18 : 18,819.63 = 7,668.69 : x
  2. Step 2: Convert to fraction form
    13,638.18/18,819.63 = 7,668.69/x
  3. Step 3: Cross multiply
    13,638.18x = 18,819.63 × 7,668.69
  4. Step 4: Simplify right side
    13,638.18x = 144,321,908.38
  5. Step 5: Solve for x
    x = 144,321,908.38/13,638.18
  6. Step 6: Final answer
    x = 10,582.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.