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Finding the Fourth Proportional to 13,677.10, 20,495.14 and 10,552.44

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Solution

The fourth proportional to 13,677.10, 20,495.14 and 10,552.44 is: 15,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.10 : 20,495.14 = 10,552.44 : x
  2. Step 2: Convert to fraction form
    13,677.10/20,495.14 = 10,552.44/x
  3. Step 3: Cross multiply
    13,677.10x = 20,495.14 × 10,552.44
  4. Step 4: Simplify right side
    13,677.10x = 216,273,735.14
  5. Step 5: Solve for x
    x = 216,273,735.14/13,677.10
  6. Step 6: Final answer
    x = 15,812.84

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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.