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Finding the Fourth Proportional to 13,914.28, 19,202.04 and 7,627

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Solution

The fourth proportional to 13,914.28, 19,202.04 and 7,627 is: 10,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.28 : 19,202.04 = 7,627 : x
  2. Step 2: Convert to fraction form
    13,914.28/19,202.04 = 7,627/x
  3. Step 3: Cross multiply
    13,914.28x = 19,202.04 × 7,627
  4. Step 4: Simplify right side
    13,914.28x = 146,453,959.08
  5. Step 5: Solve for x
    x = 146,453,959.08/13,914.28
  6. Step 6: Final answer
    x = 10,525.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.