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Finding the Fourth Proportional to 20,046.78, 30,084.75 and 8,965.98

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Solution

The fourth proportional to 20,046.78, 30,084.75 and 8,965.98 is: 13,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.78 : 30,084.75 = 8,965.98 : x
  2. Step 2: Convert to fraction form
    20,046.78/30,084.75 = 8,965.98/x
  3. Step 3: Cross multiply
    20,046.78x = 30,084.75 × 8,965.98
  4. Step 4: Simplify right side
    20,046.78x = 269,739,266.81
  5. Step 5: Solve for x
    x = 269,739,266.81/20,046.78
  6. Step 6: Final answer
    x = 13,455.49

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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.