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Finding the Fourth Proportional to 20,477.61, 30,702.85 and 7,998.82

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Solution

The fourth proportional to 20,477.61, 30,702.85 and 7,998.82 is: 11,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.61 : 30,702.85 = 7,998.82 : x
  2. Step 2: Convert to fraction form
    20,477.61/30,702.85 = 7,998.82/x
  3. Step 3: Cross multiply
    20,477.61x = 30,702.85 × 7,998.82
  4. Step 4: Simplify right side
    20,477.61x = 245,586,473.88
  5. Step 5: Solve for x
    x = 245,586,473.88/20,477.61
  6. Step 6: Final answer
    x = 11,992.93

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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.