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Finding the Fourth Proportional to 13,634.93, 18,815.22 and 7,666.45

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Solution

The fourth proportional to 13,634.93, 18,815.22 and 7,666.45 is: 10,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.93 : 18,815.22 = 7,666.45 : x
  2. Step 2: Convert to fraction form
    13,634.93/18,815.22 = 7,666.45/x
  3. Step 3: Cross multiply
    13,634.93x = 18,815.22 × 7,666.45
  4. Step 4: Simplify right side
    13,634.93x = 144,245,896.33
  5. Step 5: Solve for x
    x = 144,245,896.33/13,634.93
  6. Step 6: Final answer
    x = 10,579.14

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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.