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Finding the Fourth Proportional to 12,666.35, 17,481.74 and 7,364.25

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Solution

The fourth proportional to 12,666.35, 17,481.74 and 7,364.25 is: 10,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.35 : 17,481.74 = 7,364.25 : x
  2. Step 2: Convert to fraction form
    12,666.35/17,481.74 = 7,364.25/x
  3. Step 3: Cross multiply
    12,666.35x = 17,481.74 × 7,364.25
  4. Step 4: Simplify right side
    12,666.35x = 128,739,866.97
  5. Step 5: Solve for x
    x = 128,739,866.97/12,666.35
  6. Step 6: Final answer
    x = 10,163.93

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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.