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Finding the Fourth Proportional to 12,301.38, 16,975.71 and 7,265.03

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Solution

The fourth proportional to 12,301.38, 16,975.71 and 7,265.03 is: 10,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.38 : 16,975.71 = 7,265.03 : x
  2. Step 2: Convert to fraction form
    12,301.38/16,975.71 = 7,265.03/x
  3. Step 3: Cross multiply
    12,301.38x = 16,975.71 × 7,265.03
  4. Step 4: Simplify right side
    12,301.38x = 123,328,957.54
  5. Step 5: Solve for x
    x = 123,328,957.54/12,301.38
  6. Step 6: Final answer
    x = 10,025.62

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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.