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Finding the Fourth Proportional to 13,602.13, 18,770.94 and 7,633.85

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Solution

The fourth proportional to 13,602.13, 18,770.94 and 7,633.85 is: 10,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.13 : 18,770.94 = 7,633.85 : x
  2. Step 2: Convert to fraction form
    13,602.13/18,770.94 = 7,633.85/x
  3. Step 3: Cross multiply
    13,602.13x = 18,770.94 × 7,633.85
  4. Step 4: Simplify right side
    13,602.13x = 143,294,446.46
  5. Step 5: Solve for x
    x = 143,294,446.46/13,602.13
  6. Step 6: Final answer
    x = 10,534.71

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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.