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Finding the Fourth Proportional to 13,202.82, 19,804.23 and 5,308.94

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Solution

The fourth proportional to 13,202.82, 19,804.23 and 5,308.94 is: 7,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.82 : 19,804.23 = 5,308.94 : x
  2. Step 2: Convert to fraction form
    13,202.82/19,804.23 = 5,308.94/x
  3. Step 3: Cross multiply
    13,202.82x = 19,804.23 × 5,308.94
  4. Step 4: Simplify right side
    13,202.82x = 105,139,468.82
  5. Step 5: Solve for x
    x = 105,139,468.82/13,202.82
  6. Step 6: Final answer
    x = 7,963.41

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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.