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Finding the Fourth Proportional to 13,602.29, 18,770.85 and 7,633.82

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Solution

The fourth proportional to 13,602.29, 18,770.85 and 7,633.82 is: 10,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.29 : 18,770.85 = 7,633.82 : x
  2. Step 2: Convert to fraction form
    13,602.29/18,770.85 = 7,633.82/x
  3. Step 3: Cross multiply
    13,602.29x = 18,770.85 × 7,633.82
  4. Step 4: Simplify right side
    13,602.29x = 143,293,290.15
  5. Step 5: Solve for x
    x = 143,293,290.15/13,602.29
  6. Step 6: Final answer
    x = 10,534.50

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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.