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Finding the Fourth Proportional to 13,633.42, 18,813.27 and 7,665.01

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Solution

The fourth proportional to 13,633.42, 18,813.27 and 7,665.01 is: 10,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.42 : 18,813.27 = 7,665.01 : x
  2. Step 2: Convert to fraction form
    13,633.42/18,813.27 = 7,665.01/x
  3. Step 3: Cross multiply
    13,633.42x = 18,813.27 × 7,665.01
  4. Step 4: Simplify right side
    13,633.42x = 144,203,902.68
  5. Step 5: Solve for x
    x = 144,203,902.68/13,633.42
  6. Step 6: Final answer
    x = 10,577.24

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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.