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Finding the Fourth Proportional to 13,131.92, 18,125.16 and 7,546.16

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Solution

The fourth proportional to 13,131.92, 18,125.16 and 7,546.16 is: 10,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131.92 : 18,125.16 = 7,546.16 : x
  2. Step 2: Convert to fraction form
    13,131.92/18,125.16 = 7,546.16/x
  3. Step 3: Cross multiply
    13,131.92x = 18,125.16 × 7,546.16
  4. Step 4: Simplify right side
    13,131.92x = 136,775,357.39
  5. Step 5: Solve for x
    x = 136,775,357.39/13,131.92
  6. Step 6: Final answer
    x = 10,415.49

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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.