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Finding the Fourth Proportional to 13,633.64, 18,814.39 and 7,665.32

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Solution

The fourth proportional to 13,633.64, 18,814.39 and 7,665.32 is: 10,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.64 : 18,814.39 = 7,665.32 : x
  2. Step 2: Convert to fraction form
    13,633.64/18,814.39 = 7,665.32/x
  3. Step 3: Cross multiply
    13,633.64x = 18,814.39 × 7,665.32
  4. Step 4: Simplify right side
    13,633.64x = 144,218,319.95
  5. Step 5: Solve for x
    x = 144,218,319.95/13,633.64
  6. Step 6: Final answer
    x = 10,578.12

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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.