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Finding the Fourth Proportional to 13,634.25, 18,814.33 and 7,666.82

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Solution

The fourth proportional to 13,634.25, 18,814.33 and 7,666.82 is: 10,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.25 : 18,814.33 = 7,666.82 : x
  2. Step 2: Convert to fraction form
    13,634.25/18,814.33 = 7,666.82/x
  3. Step 3: Cross multiply
    13,634.25x = 18,814.33 × 7,666.82
  4. Step 4: Simplify right side
    13,634.25x = 144,246,081.53
  5. Step 5: Solve for x
    x = 144,246,081.53/13,634.25
  6. Step 6: Final answer
    x = 10,579.69

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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.