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Finding the Fourth Proportional to 13,674.99, 20,513.31 and 4,314.63

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Solution

The fourth proportional to 13,674.99, 20,513.31 and 4,314.63 is: 6,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.99 : 20,513.31 = 4,314.63 : x
  2. Step 2: Convert to fraction form
    13,674.99/20,513.31 = 4,314.63/x
  3. Step 3: Cross multiply
    13,674.99x = 20,513.31 × 4,314.63
  4. Step 4: Simplify right side
    13,674.99x = 88,507,342.73
  5. Step 5: Solve for x
    x = 88,507,342.73/13,674.99
  6. Step 6: Final answer
    x = 6,472.21

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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.