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Finding the Fourth Proportional to 13,537.75, 20,304.23 and 3,677.80

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Solution

The fourth proportional to 13,537.75, 20,304.23 and 3,677.80 is: 5,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.75 : 20,304.23 = 3,677.80 : x
  2. Step 2: Convert to fraction form
    13,537.75/20,304.23 = 3,677.80/x
  3. Step 3: Cross multiply
    13,537.75x = 20,304.23 × 3,677.80
  4. Step 4: Simplify right side
    13,537.75x = 74,674,897.09
  5. Step 5: Solve for x
    x = 74,674,897.09/13,537.75
  6. Step 6: Final answer
    x = 5,516.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.