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Finding the Fourth Proportional to 13,634.36, 18,814.90 and 7,666.58

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Solution

The fourth proportional to 13,634.36, 18,814.90 and 7,666.58 is: 10,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.36 : 18,814.90 = 7,666.58 : x
  2. Step 2: Convert to fraction form
    13,634.36/18,814.90 = 7,666.58/x
  3. Step 3: Cross multiply
    13,634.36x = 18,814.90 × 7,666.58
  4. Step 4: Simplify right side
    13,634.36x = 144,245,936.04
  5. Step 5: Solve for x
    x = 144,245,936.04/13,634.36
  6. Step 6: Final answer
    x = 10,579.59

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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.