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Finding the Fourth Proportional to 12,362.76, 17,063.01 and 9,668.63

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Solution

The fourth proportional to 12,362.76, 17,063.01 and 9,668.63 is: 13,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.76 : 17,063.01 = 9,668.63 : x
  2. Step 2: Convert to fraction form
    12,362.76/17,063.01 = 9,668.63/x
  3. Step 3: Cross multiply
    12,362.76x = 17,063.01 × 9,668.63
  4. Step 4: Simplify right side
    12,362.76x = 164,975,930.38
  5. Step 5: Solve for x
    x = 164,975,930.38/12,362.76
  6. Step 6: Final answer
    x = 13,344.59

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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.