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Finding the Fourth Proportional to 13,530.88, 20,297.54 and 3,670.21

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Solution

The fourth proportional to 13,530.88, 20,297.54 and 3,670.21 is: 5,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.88 : 20,297.54 = 3,670.21 : x
  2. Step 2: Convert to fraction form
    13,530.88/20,297.54 = 3,670.21/x
  3. Step 3: Cross multiply
    13,530.88x = 20,297.54 × 3,670.21
  4. Step 4: Simplify right side
    13,530.88x = 74,496,234.28
  5. Step 5: Solve for x
    x = 74,496,234.28/13,530.88
  6. Step 6: Final answer
    x = 5,505.65

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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.