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Finding the Fourth Proportional to 20,475.29, 30,706.40 and 7,992.28

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Solution

The fourth proportional to 20,475.29, 30,706.40 and 7,992.28 is: 11,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.29 : 30,706.40 = 7,992.28 : x
  2. Step 2: Convert to fraction form
    20,475.29/30,706.40 = 7,992.28/x
  3. Step 3: Cross multiply
    20,475.29x = 30,706.40 × 7,992.28
  4. Step 4: Simplify right side
    20,475.29x = 245,413,993.06
  5. Step 5: Solve for x
    x = 245,413,993.06/20,475.29
  6. Step 6: Final answer
    x = 11,985.86

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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.