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Finding the Fourth Proportional to 13,515.19, 20,174 and 12,539.53

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Solution

The fourth proportional to 13,515.19, 20,174 and 12,539.53 is: 18,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.19 : 20,174 = 12,539.53 : x
  2. Step 2: Convert to fraction form
    13,515.19/20,174 = 12,539.53/x
  3. Step 3: Cross multiply
    13,515.19x = 20,174 × 12,539.53
  4. Step 4: Simplify right side
    13,515.19x = 252,972,478.22
  5. Step 5: Solve for x
    x = 252,972,478.22/13,515.19
  6. Step 6: Final answer
    x = 18,717.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.