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Finding the Fourth Proportional to 13,202.82, 19,803.27 and 4,878.96

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Solution

The fourth proportional to 13,202.82, 19,803.27 and 4,878.96 is: 7,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.82 : 19,803.27 = 4,878.96 : x
  2. Step 2: Convert to fraction form
    13,202.82/19,803.27 = 4,878.96/x
  3. Step 3: Cross multiply
    13,202.82x = 19,803.27 × 4,878.96
  4. Step 4: Simplify right side
    13,202.82x = 96,619,380.50
  5. Step 5: Solve for x
    x = 96,619,380.50/13,202.82
  6. Step 6: Final answer
    x = 7,318.08

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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.