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Finding the Fourth Proportional to 13,026.38, 17,976.29 and 7,361.03

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Solution

The fourth proportional to 13,026.38, 17,976.29 and 7,361.03 is: 10,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.38 : 17,976.29 = 7,361.03 : x
  2. Step 2: Convert to fraction form
    13,026.38/17,976.29 = 7,361.03/x
  3. Step 3: Cross multiply
    13,026.38x = 17,976.29 × 7,361.03
  4. Step 4: Simplify right side
    13,026.38x = 132,323,883.29
  5. Step 5: Solve for x
    x = 132,323,883.29/13,026.38
  6. Step 6: Final answer
    x = 10,158.15

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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.