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Finding the Fourth Proportional to 13,436.10, 18,534.74 and 7,982.06

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Solution

The fourth proportional to 13,436.10, 18,534.74 and 7,982.06 is: 11,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.10 : 18,534.74 = 7,982.06 : x
  2. Step 2: Convert to fraction form
    13,436.10/18,534.74 = 7,982.06/x
  3. Step 3: Cross multiply
    13,436.10x = 18,534.74 × 7,982.06
  4. Step 4: Simplify right side
    13,436.10x = 147,945,274.18
  5. Step 5: Solve for x
    x = 147,945,274.18/13,436.10
  6. Step 6: Final answer
    x = 11,011.03

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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.