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Finding the Fourth Proportional to 19,419.14, 29,170.20 and 13,907.90

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Solution

The fourth proportional to 19,419.14, 29,170.20 and 13,907.90 is: 20,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.14 : 29,170.20 = 13,907.90 : x
  2. Step 2: Convert to fraction form
    19,419.14/29,170.20 = 13,907.90/x
  3. Step 3: Cross multiply
    19,419.14x = 29,170.20 × 13,907.90
  4. Step 4: Simplify right side
    19,419.14x = 405,696,224.58
  5. Step 5: Solve for x
    x = 405,696,224.58/19,419.14
  6. Step 6: Final answer
    x = 20,891.56

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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.