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Finding the Fourth Proportional to 13,267.14, 19,902 and 4,945.21

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Solution

The fourth proportional to 13,267.14, 19,902 and 4,945.21 is: 7,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.14 : 19,902 = 4,945.21 : x
  2. Step 2: Convert to fraction form
    13,267.14/19,902 = 4,945.21/x
  3. Step 3: Cross multiply
    13,267.14x = 19,902 × 4,945.21
  4. Step 4: Simplify right side
    13,267.14x = 98,419,569.42
  5. Step 5: Solve for x
    x = 98,419,569.42/13,267.14
  6. Step 6: Final answer
    x = 7,418.30

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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.