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Finding the Fourth Proportional to 13,476.57, 20,202.09 and 4,705.78

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Solution

The fourth proportional to 13,476.57, 20,202.09 and 4,705.78 is: 7,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.57 : 20,202.09 = 4,705.78 : x
  2. Step 2: Convert to fraction form
    13,476.57/20,202.09 = 4,705.78/x
  3. Step 3: Cross multiply
    13,476.57x = 20,202.09 × 4,705.78
  4. Step 4: Simplify right side
    13,476.57x = 95,066,591.08
  5. Step 5: Solve for x
    x = 95,066,591.08/13,476.57
  6. Step 6: Final answer
    x = 7,054.21

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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.