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Finding the Fourth Proportional to 13,633.36, 18,813.52 and 7,665.58

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Solution

The fourth proportional to 13,633.36, 18,813.52 and 7,665.58 is: 10,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.36 : 18,813.52 = 7,665.58 : x
  2. Step 2: Convert to fraction form
    13,633.36/18,813.52 = 7,665.58/x
  3. Step 3: Cross multiply
    13,633.36x = 18,813.52 × 7,665.58
  4. Step 4: Simplify right side
    13,633.36x = 144,216,542.64
  5. Step 5: Solve for x
    x = 144,216,542.64/13,633.36
  6. Step 6: Final answer
    x = 10,578.21

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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.