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Finding the Fourth Proportional to 13,601.76, 18,770.40 and 7,633.68

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Solution

The fourth proportional to 13,601.76, 18,770.40 and 7,633.68 is: 10,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.76 : 18,770.40 = 7,633.68 : x
  2. Step 2: Convert to fraction form
    13,601.76/18,770.40 = 7,633.68/x
  3. Step 3: Cross multiply
    13,601.76x = 18,770.40 × 7,633.68
  4. Step 4: Simplify right side
    13,601.76x = 143,287,227.07
  5. Step 5: Solve for x
    x = 143,287,227.07/13,601.76
  6. Step 6: Final answer
    x = 10,534.46

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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.