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Finding the Fourth Proportional to 13,674.17, 20,510.23 and 4,314.49

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Solution

The fourth proportional to 13,674.17, 20,510.23 and 4,314.49 is: 6,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.17 : 20,510.23 = 4,314.49 : x
  2. Step 2: Convert to fraction form
    13,674.17/20,510.23 = 4,314.49/x
  3. Step 3: Cross multiply
    13,674.17x = 20,510.23 × 4,314.49
  4. Step 4: Simplify right side
    13,674.17x = 88,491,182.23
  5. Step 5: Solve for x
    x = 88,491,182.23/13,674.17
  6. Step 6: Final answer
    x = 6,471.41

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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.