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Finding the Fourth Proportional to 13,023.84, 19,538.46 and 5,233.26

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Solution

The fourth proportional to 13,023.84, 19,538.46 and 5,233.26 is: 7,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.84 : 19,538.46 = 5,233.26 : x
  2. Step 2: Convert to fraction form
    13,023.84/19,538.46 = 5,233.26/x
  3. Step 3: Cross multiply
    13,023.84x = 19,538.46 × 5,233.26
  4. Step 4: Simplify right side
    13,023.84x = 102,249,789.83
  5. Step 5: Solve for x
    x = 102,249,789.83/13,023.84
  6. Step 6: Final answer
    x = 7,850.97

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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.