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Finding the Fourth Proportional to 20,460.25, 30,690.38 and 8,156.89

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Solution

The fourth proportional to 20,460.25, 30,690.38 and 8,156.89 is: 12,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.25 : 30,690.38 = 8,156.89 : x
  2. Step 2: Convert to fraction form
    20,460.25/30,690.38 = 8,156.89/x
  3. Step 3: Cross multiply
    20,460.25x = 30,690.38 × 8,156.89
  4. Step 4: Simplify right side
    20,460.25x = 250,338,053.72
  5. Step 5: Solve for x
    x = 250,338,053.72/20,460.25
  6. Step 6: Final answer
    x = 12,235.34

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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.