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Finding the Fourth Proportional to 12,674.72, 17,490.81 and 7,371.38

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Solution

The fourth proportional to 12,674.72, 17,490.81 and 7,371.38 is: 10,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.72 : 17,490.81 = 7,371.38 : x
  2. Step 2: Convert to fraction form
    12,674.72/17,490.81 = 7,371.38/x
  3. Step 3: Cross multiply
    12,674.72x = 17,490.81 × 7,371.38
  4. Step 4: Simplify right side
    12,674.72x = 128,931,407.02
  5. Step 5: Solve for x
    x = 128,931,407.02/12,674.72
  6. Step 6: Final answer
    x = 10,172.33

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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.