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Finding the Fourth Proportional to 13,782.70, 20,674.05 and 10,672.30

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Solution

The fourth proportional to 13,782.70, 20,674.05 and 10,672.30 is: 16,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.70 : 20,674.05 = 10,672.30 : x
  2. Step 2: Convert to fraction form
    13,782.70/20,674.05 = 10,672.30/x
  3. Step 3: Cross multiply
    13,782.70x = 20,674.05 × 10,672.30
  4. Step 4: Simplify right side
    13,782.70x = 220,639,663.82
  5. Step 5: Solve for x
    x = 220,639,663.82/13,782.70
  6. Step 6: Final answer
    x = 16,008.45

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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.