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Finding the Fourth Proportional to 13,852.16, 20,776.80 and 3,992.96

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Solution

The fourth proportional to 13,852.16, 20,776.80 and 3,992.96 is: 5,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.16 : 20,776.80 = 3,992.96 : x
  2. Step 2: Convert to fraction form
    13,852.16/20,776.80 = 3,992.96/x
  3. Step 3: Cross multiply
    13,852.16x = 20,776.80 × 3,992.96
  4. Step 4: Simplify right side
    13,852.16x = 82,960,931.33
  5. Step 5: Solve for x
    x = 82,960,931.33/13,852.16
  6. Step 6: Final answer
    x = 5,989.02

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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.