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Finding the Fourth Proportional to 13,897.60, 20,857.64 and 10,770.19

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Solution

The fourth proportional to 13,897.60, 20,857.64 and 10,770.19 is: 16,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.60 : 20,857.64 = 10,770.19 : x
  2. Step 2: Convert to fraction form
    13,897.60/20,857.64 = 10,770.19/x
  3. Step 3: Cross multiply
    13,897.60x = 20,857.64 × 10,770.19
  4. Step 4: Simplify right side
    13,897.60x = 224,640,639.76
  5. Step 5: Solve for x
    x = 224,640,639.76/13,897.60
  6. Step 6: Final answer
    x = 16,163.99

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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.