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Finding the Fourth Proportional to 13,202.76, 19,807.39 and 3,842.87

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Solution

The fourth proportional to 13,202.76, 19,807.39 and 3,842.87 is: 5,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.76 : 19,807.39 = 3,842.87 : x
  2. Step 2: Convert to fraction form
    13,202.76/19,807.39 = 3,842.87/x
  3. Step 3: Cross multiply
    13,202.76x = 19,807.39 × 3,842.87
  4. Step 4: Simplify right side
    13,202.76x = 76,117,116.17
  5. Step 5: Solve for x
    x = 76,117,116.17/13,202.76
  6. Step 6: Final answer
    x = 5,765.24

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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.