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Finding the Fourth Proportional to 13,031.56, 17,983.24 and 7,366.28

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Solution

The fourth proportional to 13,031.56, 17,983.24 and 7,366.28 is: 10,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.56 : 17,983.24 = 7,366.28 : x
  2. Step 2: Convert to fraction form
    13,031.56/17,983.24 = 7,366.28/x
  3. Step 3: Cross multiply
    13,031.56x = 17,983.24 × 7,366.28
  4. Step 4: Simplify right side
    13,031.56x = 132,469,581.15
  5. Step 5: Solve for x
    x = 132,469,581.15/13,031.56
  6. Step 6: Final answer
    x = 10,165.29

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