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Finding the Fourth Proportional to 13,992.73, 20,992.92 and 4,132

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Solution

The fourth proportional to 13,992.73, 20,992.92 and 4,132 is: 6,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.73 : 20,992.92 = 4,132 : x
  2. Step 2: Convert to fraction form
    13,992.73/20,992.92 = 4,132/x
  3. Step 3: Cross multiply
    13,992.73x = 20,992.92 × 4,132
  4. Step 4: Simplify right side
    13,992.73x = 86,742,745.44
  5. Step 5: Solve for x
    x = 86,742,745.44/13,992.73
  6. Step 6: Final answer
    x = 6,199.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.