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Finding the Fourth Proportional to 13,537.58, 20,304.04 and 3,677.66

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Solution

The fourth proportional to 13,537.58, 20,304.04 and 3,677.66 is: 5,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.58 : 20,304.04 = 3,677.66 : x
  2. Step 2: Convert to fraction form
    13,537.58/20,304.04 = 3,677.66/x
  3. Step 3: Cross multiply
    13,537.58x = 20,304.04 × 3,677.66
  4. Step 4: Simplify right side
    13,537.58x = 74,671,355.75
  5. Step 5: Solve for x
    x = 74,671,355.75/13,537.58
  6. Step 6: Final answer
    x = 5,515.86

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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.