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Finding the Fourth Proportional to 13,817.70, 20,682.45 and 10,901.70

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Solution

The fourth proportional to 13,817.70, 20,682.45 and 10,901.70 is: 16,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.70 : 20,682.45 = 10,901.70 : x
  2. Step 2: Convert to fraction form
    13,817.70/20,682.45 = 10,901.70/x
  3. Step 3: Cross multiply
    13,817.70x = 20,682.45 × 10,901.70
  4. Step 4: Simplify right side
    13,817.70x = 225,473,865.17
  5. Step 5: Solve for x
    x = 225,473,865.17/13,817.70
  6. Step 6: Final answer
    x = 16,317.76

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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.